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300 (number)

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← 299 300 301 ⊟
Cardinalthree hundred
Ordinal300th
(three hundredth)
Factorization22 × 3 × 52
Greek numeralΤ´
Roman numeralCCC
Binary1001011002
Ternary1020103
Senary12206
Octal4548
Duodecimal21012
Hexadecimal12C16
Hebrewש
ArmenianՅ
Babylonian cuneiform𒐙
Egyptian hieroglyph𓍤

300 (three hundred) is the natural number following 299 and preceding 301.

In Mathematics

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300 is a composite number.

Integers from 301 to 399

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300s

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301

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Main article: 301 (number)

302

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Main article: 302 (number)

303

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Main article: 303 (number)

304

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Main article: 304 (number)

305

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Main article: 305 (number)

306

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Main article: 306 (number)

307

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Main article: 307 (number)

308

[edit]
Main article: 308 (number)

309

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Main article: 309 (number)

310s

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310

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Main article: 310 (number)

311

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Main article: 311 (number)

312

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Main article: 312 (number)

313

[edit]
Main article: 313 (number)

314

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Main article: 314 (number)

315

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315 = 32 × 5 × 7 = , rencontres number, highly composite odd number, having 12 divisors.[1]

316

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316 = 22 × 79, a centered triangular number[2] and a centered heptagonal number.[3]

317

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317 is a prime number, Eisenstein prime with no imaginary part, Chen prime,[4] one of the rare primes to be both right and left-truncatable,[5] and a strictly non-palindromic number.

317 is the exponent (and number of ones) in the fourth base-10 repunit prime.[6]

318

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Main article: 318 (number)

319

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319 = 11 × 29. 319 is the sum of three consecutive primes (103 107 109), Smith number,[7] cannot be represented as the sum of fewer than 19 fourth powers, happy number in base 10[8]

320s

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320

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320 = 26 × 5 = (25) × (2 × 5). 320 is a Leyland number,[9] and maximum determinant of a 10 by 10 matrix of zeros and ones.

321

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321 = 3 × 107, a Delannoy number[10]

322

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322 = 2 × 7 × 23. 322 is a sphenic,[11] nontotient, untouchable,[12] and a Lucas number.[13] It is also the first unprimeable number to end in 2.

323

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323 = 17 × 19. 323 is the sum of nine consecutive primes (19 23 29 31 37 41 43 47 53), the sum of the 13 consecutive primes (5 7 11 13 17 19 23 29 31 37 41 43 47), Motzkin number.[14] A Lucas and Fibonacci pseudoprime. See 323 (disambiguation)

324

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324 = 22 × 34 = 182. 324 is the sum of four consecutive primes (73 79 83 89), totient sum of the first 32 integers, a square number,[15] and an untouchable number.[12]

325

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325 = 52 × 13. 325 is a triangular number, hexagonal number,[16] nonagonal number,[17] and a centered nonagonal number.[18] 325 is the smallest number to be the sum of two squares in 3 different ways: 12 182, 62 172 and 102 152. 325 is also the smallest (and only known) 3-hyperperfect number.[19][20]

326

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326 = 2 × 163. 326 is a nontotient, noncototient,[21] and an untouchable number.[12] 326 is the sum of the 14 consecutive primes (3 5 7 11 13 17 19 23 29 31 37 41 43 47), lazy caterer number[22]

327

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327 = 3 × 109. 327 is a perfect totient number,[23] number of compositions of 10 whose run-lengths are either weakly increasing or weakly decreasing[24]

328

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328 = 23 × 41. 328 is a refactorable number,[25] and it is the sum of the first fifteen primes (2 3 5 7 11 13 17 19 23 29 31 37 41 43 47).

329

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329 = 7 × 47. 329 is the sum of three consecutive primes (107 109 113), and a highly cototient number.[26]

330s

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330

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330 = 2 × 3 × 5 × 11. 330 is sum of six consecutive primes (43 47 53 59 61 67), pentatope number (and hence a binomial coefficient ), a pentagonal number,[27] divisible by the number of primes below it, and a sparsely totient number.[28]

331

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331 is a prime number, super-prime, cuban prime,[29] a lucky prime,[30] sum of five consecutive primes (59 61 67 71 73), centered pentagonal number,[31] centered hexagonal number,[32] and Mertens function returns 0.[33]

332

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332 = 22 × 83, Mertens function returns 0.[33]

333

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333 = 32 × 37, Mertens function returns 0;[33] repdigit; 2333 is the smallest power of two greater than a googol.

334

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334 = 2 × 167, nontotient.[34]

335

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335 = 5 × 67. 335 is divisible by the number of primes below it, number of Lyndon words of length 12.

336

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336 = 24 × 3 × 7, untouchable number,[12] number of partitions of 41 into prime parts,[35] largely composite number.[36]

337

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337, prime number, emirp, permutable prime with 373 and 733, Chen prime,[4] star number

338

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338 = 2 × 132, nontotient, number of square (0,1)-matrices without zero rows and with exactly 4 entries equal to 1.[37]

339

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339 = 3 × 113, Ulam number[38]

340s

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340

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340 = 22 × 5 × 17, sum of eight consecutive primes (29 31 37 41 43 47 53 59), sum of ten consecutive primes (17 19 23 29 31 37 41 43 47 53), sum of the first four powers of 4 (41 42 43 44), divisible by the number of primes below it, nontotient, noncototient.[21] Number of regions formed by drawing the line segments connecting any two of the 12 perimeter points of a 3 times 3 grid of squares (sequence A331452 in the OEIS) and (sequence A255011 in the OEIS).

341

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341 = 11 × 31, sum of seven consecutive primes (37 41 43 47 53 59 61), octagonal number,[39] centered cube number,[40] super-Poulet number. 341 is the smallest Fermat pseudoprime; it is the least composite odd modulus m greater than the base b, that satisfies the Fermat property "bm−1 − 1 is divisible by m", for bases up to 128 of b = 2, 15, 60, 63, 78, and 108.

342

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342 = 2 × 32 × 19, pronic number,[41] Untouchable number.[12]

343

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343 = 73, the first nice Friedman number that is composite since 343 = (3 4)3. It is the only known example of x2 x 1 = y3, in this case, x=18, y=7. It is z3 in a triplet (x,y,z) such that x5 y2 = z3.

344

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344 = 23 × 43, octahedral number,[42] noncototient,[21] totient sum of the first 33 integers, refactorable number.[25]

345

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345 = 3 × 5 × 23, sphenic number,[11] idoneal number

346

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346 = 2 × 173, Smith number,[7] noncototient.[21]

347

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347 is a prime number, emirp, safe prime,[43] Eisenstein prime with no imaginary part, Chen prime,[4] Friedman prime since 347 = 73 4, twin prime with 349, and a strictly non-palindromic number.

348

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348 = 22 × 3 × 29, sum of four consecutive primes (79 83 89 97), refactorable number.[25]

349

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349, prime number, twin prime, lucky prime, sum of three consecutive primes (109 113 127), 5349 - 4349 is a prime number.[44]

350s

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350

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350 = 2 × 52 × 7 = , primitive semiperfect number,[45] divisible by the number of primes below it, nontotient, a truncated icosahedron of frequency 6 has 350 hexagonal faces and 12 pentagonal faces.

351

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351 = 33 × 13, triangular number, sum of five consecutive primes (61 67 71 73 79), member of Padovan sequence[46] and number of compositions of 15 into distinct parts.[47]

352

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352 = 25 × 11, the number of n-Queens Problem solutions for n = 9. It is the sum of two consecutive primes (173 179), lazy caterer number[22]

353

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Main article: 353 (number)

354

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354 = 2 × 3 × 59 = 14 24 34 44,[48][49] sphenic number,[11] nontotient, also SMTP code meaning start of mail input. It is also sum of absolute value of the coefficients of Conway's polynomial.

355

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355 = 5 × 71, Smith number,[7] Mertens function returns 0,[33] divisible by the number of primes below it.[50] The cototient of 355 is 75,[51] where 75 is the product of its digits (3 x 5 x 5 = 75).

The numerator of the best simplified rational approximation of pi having a denominator of four digits or fewer. This fraction (355/113) is known as Milü and provides an extremely accurate approximation for pi, being accurate to seven digits.

356

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356 = 22 × 89, Mertens function returns 0.[33]

357

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357 = 3 × 7 × 17, sphenic number.[11]

358

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358 = 2 × 179, sum of six consecutive primes (47 53 59 61 67 71), Mertens function returns 0,[33] number of ways to partition {1,2,3,4,5} and then partition each cell (block) into subcells.[52]

359

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Main article: 359 (number)

360s

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360

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Main article: 360 (number)

361

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361 = 192. 361 is a centered triangular number,[2] centered octagonal number, centered decagonal number,[53] member of the Mian–Chowla sequence;[54] also the number of positions on a standard 19 x 19 Go board.

362

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362 = 2 × 181 = σ2(19): sum of squares of divisors of 19,[55] Mertens function returns 0,[33] nontotient, noncototient.[21]

363

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Main article: 363 (number)

364

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364 = 22 × 7 × 13, tetrahedral number,[56] sum of twelve consecutive primes (11 13 17 19 23 29 31 37 41 43 47 53), Mertens function returns 0,[33] nontotient. It is a repdigit in base 3 (111111), base 9 (444), base 25 (EE), base 27 (DD), base 51 (77) and base 90 (44), the sum of six consecutive powers of 3 (1 3 9 27 81 243), and because it is the twelfth non-zero tetrahedral number.[56]

365

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Main article: 365 (number)

366

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366 = 2 × 3 × 61, sphenic number,[11] Mertens function returns 0,[33] noncototient,[21] number of complete partitions of 20,[57] 26-gonal and 123-gonal. Also the number of days in a leap year.

367

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367 is a prime number, a lucky prime,[30] Perrin number,[58] happy number, prime index prime and a strictly non-palindromic number.

368

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368 = 24 × 23. It is also a Leyland number.[9]

369

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Main article: 369 (number)

370s

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370

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370 = 2 × 5 × 37, sphenic number,[11] sum of four consecutive primes (83 89 97 101), nontotient, with 369 part of a Ruth–Aaron pair with only distinct prime factors counted, Base 10 Armstrong number since 33 73 03 = 370.

371

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371 = 7 × 53, sum of three consecutive primes (113 127 131), sum of seven consecutive primes (41 43 47 53 59 61 67), sum of the primes from its least to its greatest prime factor,[59] the next such composite number is 2935561623745, Armstrong number since 33 73 13 = 371.

372

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372 = 22 × 3 × 31, sum of eight consecutive primes (31 37 41 43 47 53 59 61), noncototient,[21] untouchable number,[12] --> refactorable number.[25]

373

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373, prime number, balanced prime,[60] one of the rare primes to be both right and left-truncatable (two-sided prime),[5] sum of five consecutive primes (67 71 73 79 83), sexy prime with 367 and 379, permutable prime with 337 and 733, palindromic prime in 3 consecutive bases: 5658 = 4549 = 37310 and also in base 4: 113114.

374

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374 = 2 × 11 × 17, sphenic number,[11] nontotient, 3744 1 is prime.[61]

375

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375 = 3 × 53, number of regions in regular 11-gon with all diagonals drawn.[62]

376

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376 = 23 × 47, pentagonal number,[27] 1-automorphic number,[63] nontotient, refactorable number.[25] There is a math puzzle in which when 376 is squared, 376 is also the last three digits, as 376 * 376 = 141376 [64] It is one of the two three-digit numbers where when squared, the last three digits remain the same.

377

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377 = 13 × 29, Fibonacci number, a centered octahedral number,[65] a Lucas and Fibonacci pseudoprime, the sum of the squares of the first six primes.

378

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378 = 2 × 33 × 7, triangular number, cake number, hexagonal number,[16] Smith number.[7]

379

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379 is a prime number, Chen prime,[4] lazy caterer number[22] and a happy number in base 10. It is the sum of the first 15 odd primes (3 5 7 11 13 17 19 23 29 31 37 41 43 47 53). 379! - 1 is prime.

380s

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380

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380 = 22 × 5 × 19, pronic number,[41] number of regions into which a figure made up of a row of 6 adjacent congruent rectangles is divided upon drawing diagonals of all possible rectangles.[66]

381

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381 = 3 × 127, palindromic in base 2 and base 8.

381 is the sum of the first 16 prime numbers (2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53).

382

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382 = 2 × 191, sum of ten consecutive primes (19 23 29 31 37 41 43 47 53 59), Smith number.[7]

383

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383, prime number, safe prime,[43] Woodall prime,[67] Thabit number, Eisenstein prime with no imaginary part, palindromic prime. It is also the first number where the sum of a prime and the reversal of the prime is also a prime.[68] 4383 - 3383 is prime.

384

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Main article: 384 (number)

385

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385 = 5 × 7 × 11, sphenic number,[11] square pyramidal number,[69] the number of integer partitions of 18.

385 = 102 92 82 72 62 52 42 32 22 12

386

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386 = 2 × 193, nontotient, noncototient,[21] centered heptagonal number,[3] number of surface points on a cube with edge-length 9.[70]

387

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387 = 32 × 43, number of graphical partitions of 22.[71]

388

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388 = 22 × 97 = solution to postage stamp problem with 6 stamps and 6 denominations,[72] number of uniform rooted trees with 10 nodes.[73]

389

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389, prime number, emirp, Eisenstein prime with no imaginary part, Chen prime,[4] highly cototient number,[26] strictly non-palindromic number. Smallest conductor of a rank 2 Elliptic curve.

390s

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390

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390 = 2 × 3 × 5 × 13, sum of four consecutive primes (89 97 101 103), nontotient,

is prime[74]

391

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391 = 17 × 23, Smith number,[7] centered pentagonal number.[31]

392

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392 = 23 × 72, Achilles number.

393

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393 = 3 × 131, Blum integer, Mertens function returns 0.[33]

394

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394 = 2 × 197 = S5 a Schröder number,[75] nontotient, noncototient.[21]

395

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395 = 5 × 79, sum of three consecutive primes (127 131 137), sum of five consecutive primes (71 73 79 83 89), number of (unordered, unlabeled) rooted trimmed trees with 11 nodes.[76]

396

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396 = 22 × 32 × 11, sum of twin primes (197 199), totient sum of the first 36 integers, refactorable number,[25] Harshad number, digit-reassembly number.

397

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397, prime number, cuban prime,[29] centered hexagonal number.[32]

398

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398 = 2 × 199, nontotient.

is prime[74]

399

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399 = 3 × 7 × 19, sphenic number,[11] smallest Lucas–Carmichael number, and a Leyland number of the second kind[77] (). 399! 1 is prime.

References

[edit]
  1. ^ Sloane, N. J. A. (ed.). "Sequence A053624 (Highly composite odd numbers (1): where d(n) increases to a record)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  2. ^ a b Sloane, N. J. A. (ed.). "Sequence A005448 (Centered triangular numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  3. ^ a b Sloane, N. J. A. (ed.). "Sequence A069099 (Centered heptagonal numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  4. ^ a b c d e Sloane, N. J. A. (ed.). "Sequence A109611 (Chen primes)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  5. ^ a b Sloane, N. J. A. (ed.). "Sequence A020994 (Primes that are both left-truncatable and right-truncatable)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  6. ^ Guy, Richard; Unsolved Problems in Number Theory, p. 7 ISBN 1475717385
  7. ^ a b c d e f Sloane, N. J. A. (ed.). "Sequence A006753 (Smith numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  8. ^ Sloane, N. J. A. (ed.). "Sequence A007770 (Happy numbers: numbers whose trajectory under iteration of sum of squares of digits map (see A003132) includes 1)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  9. ^ a b Sloane, N. J. A. (ed.). "Sequence A076980 (Leyland numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  10. ^ Sloane, N. J. A. (ed.). "Sequence A001850 (Central Delannoy numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  11. ^ a b c d e f g h i Sloane, N. J. A. (ed.). "Sequence A007304 (Sphenic numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  12. ^ a b c d e f Sloane, N. J. A. (ed.). "Sequence A005114 (Untouchable numbers, also called nonaliquot numbers: impossible values for the sum of aliquot parts function)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  13. ^ Sloane, N. J. A. (ed.). "Sequence A000032 (Lucas numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  14. ^ Sloane, N. J. A. (ed.). "Sequence A001006 (Motzkin numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  15. ^ Sloane, N. J. A. (ed.). "Sequence A000290 (The squares: a(n) = n^2)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  16. ^ a b Sloane, N. J. A. (ed.). "Sequence A000384 (Hexagonal numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  17. ^ Sloane, N. J. A. (ed.). "Sequence A001106 (9-gonal numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  18. ^ Sloane, N. J. A. (ed.). "Sequence A060544 (Centered 9-gonal numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  19. ^ Sloane, N. J. A. (ed.). "Sequence A034897 (Hyperperfect numbers: x such that x = 1 k*(sigma(x)-x-1) for some k > 0)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  20. ^ Sloane, N. J. A. (ed.). "Sequence A007863 (Smallest n-hyperperfect number: m such that m=n(sigma(m)-m-1) 1; or 0 if no such number exists)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  21. ^ a b c d e f g h i Sloane, N. J. A. (ed.). "Sequence A005278 (Noncototients)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  22. ^ a b c Sloane, N. J. A. (ed.). "Sequence A000124 (Central polygonal numbers (the Lazy Caterer's sequence): n(n 1)/2 1; or, maximal number of pieces formed when slicing a pancake with n cuts)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  23. ^ Sloane, N. J. A. (ed.). "Sequence A082897 (Perfect totient numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  24. ^ Sloane, N. J. A. (ed.). "Sequence A332835 (Number of compositions of n whose run-lengths are either weakly increasing or weakly decreasing)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  25. ^ a b c d e f Sloane, N. J. A. (ed.). "Sequence A033950 (Refactorable numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  26. ^ a b Sloane, N. J. A. (ed.). "Sequence A100827 (Highly cototient numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  27. ^ a b Sloane, N. J. A. (ed.). "Sequence A000326 (Pentagonal numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  28. ^ Sloane, N. J. A. (ed.). "Sequence A036913 (Sparsely totient numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  29. ^ a b Sloane, N. J. A. (ed.). "Sequence A002407 (Cuban primes: primes which are the difference of two consecutive cubes)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  30. ^ a b Sloane, N. J. A. (ed.). "Sequence A031157 (Numbers that are both lucky and prime)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  31. ^ a b Sloane, N. J. A. (ed.). "Sequence A005891 (Centered pentagonal numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  32. ^ a b Sloane, N. J. A. (ed.). "Sequence A003215 (Hex numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  33. ^ a b c d e f g h i j Sloane, N. J. A. (ed.). "Sequence A028442 (Numbers n such that Mertens' function is zero)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  34. ^ Sloane, N. J. A. (ed.). "Sequence A003052 (Self numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  35. ^ Sloane, N. J. A. (ed.). "Sequence A000607 (Number of partitions of n into prime parts)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  36. ^ Sloane, N. J. A. (ed.). "Sequence A067128 (Ramanujan's largely composite numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  37. ^ Sloane, N. J. A. (ed.). "Sequence A122400 (Number of square (0,1)-matrices without zero rows and with exactly n entries equal to 1)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  38. ^ Sloane, N. J. A. (ed.). "Sequence A002858 (Ulam numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  39. ^ Sloane, N. J. A. (ed.). "Sequence A000567 (Octagonal numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  40. ^ Sloane, N. J. A. (ed.). "Sequence A005898 (Centered cube numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  41. ^ a b Sloane, N. J. A. (ed.). "Sequence A002378 (Oblong (or promic, pronic, or heteromecic) numbers: a(n) = n*(n 1))". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  42. ^ Sloane, N. J. A. (ed.). "Sequence A005900 (Octahedral numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  43. ^ a b Sloane, N. J. A. (ed.). "Sequence A005385 (Safe primes)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  44. ^ Sloane, N. J. A. (ed.). "Sequence A059802 (Numbers k such that 5^k - 4^k is prime)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  45. ^ Sloane, N. J. A. (ed.). "Sequence A006036 (Primitive pseudoperfect numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  46. ^ Sloane, N. J. A. (ed.). "Sequence A000931 (Padovan sequence)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  47. ^ Sloane, N. J. A. (ed.). "Sequence A032020 (Number of compositions (ordered partitions) of n into distinct parts)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  48. ^ Sloane, N. J. A. (ed.). "Sequence A000538 (Sum of fourth powers: 0^4 1^4 ... n^4)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  49. ^ Sloane, N. J. A. (ed.). "Sequence A031971 (a(n) = Sum_{k=1..n} k^n)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  50. ^ "A057809 - OEIS". oeis.org. Retrieved 2024-11-19.
  51. ^ "A051953 - OEIS". oeis.org. Retrieved 2024-11-19.
  52. ^ Sloane, N. J. A. (ed.). "Sequence A000258 (Expansion of e.g.f. exp(exp(exp(x)-1)-1))". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  53. ^ Sloane, N. J. A. (ed.). "Sequence A062786 (Centered 10-gonal numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  54. ^ Sloane, N. J. A. (ed.). "Sequence A005282 (Mian-Chowla sequence)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  55. ^ Sloane, N. J. A. (ed.). "Sequence A001157 (a(n) = sigma_2(n): sum of squares of divisors of n)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  56. ^ a b Sloane, N. J. A. (ed.). "Sequence A000292 (Tetrahedral numbers (or triangular pyramidal))". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  57. ^ Sloane, N. J. A. (ed.). "Sequence A126796 (Number of complete partitions of n)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  58. ^ Sloane, N. J. A. (ed.). "Sequence A001608 (Perrin sequence)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  59. ^ Sloane, N. J. A. (ed.). "Sequence A055233 (Composite numbers equal to the sum of the primes from their smallest prime factor to their largest prime factor)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  60. ^ Sloane, N. J. A. (ed.). "Sequence A006562 (Balanced primes)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  61. ^ Sloane, N. J. A. (ed.). "Sequence A000068 (Numbers k such that k^4 1 is prime)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  62. ^ Sloane, N. J. A. (ed.). "Sequence A007678 (Number of regions in regular n-gon with all diagonals drawn)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  63. ^ Sloane, N. J. A. (ed.). "Sequence A003226 (Automorphic numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  64. ^ "Algebra COW Puzzle - Solution". Archived from the original on 2023-10-19. Retrieved 2023-09-21.
  65. ^ Sloane, N. J. A. (ed.). "Sequence A001845 (Centered octahedral numbers (crystal ball sequence for cubic lattice))". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  66. ^ Sloane, N. J. A. (ed.). "Sequence A306302 (Number of regions into which a figure made up of a row of n adjacent congruent rectangles is divided upon drawing diagonals of all possible rectangles)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  67. ^ Sloane, N. J. A. (ed.). "Sequence A050918 (Woodall primes)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  68. ^ Sloane, N. J. A. (ed.). "Sequence A072385 (Primes which can be represented as the sum of a prime and its reverse)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  69. ^ Sloane, N. J. A. (ed.). "Sequence A000330 (Square pyramidal numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  70. ^ Sloane, N. J. A. (ed.). "Sequence A005897 (a(n) = 6*n^2 2 for n > 0, a(0)=1)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  71. ^ Sloane, N. J. A. (ed.). "Sequence A000569 (Number of graphical partitions of 2n)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  72. ^ Sloane, N. J. A. (ed.). "Sequence A084192 (Array read by antidiagonals: T(n,k) = solution to postage stamp problem with n stamps and k denominations (n >= 1, k >= 1))". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  73. ^ Sloane, N. J. A. (ed.). "Sequence A317712 (Number of uniform rooted trees with n nodes)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  74. ^ a b Sloane, N. J. A. (ed.). "Sequence A162862 (Numbers n such that n^10 n^9 n^8 n^7 n^6 n^5 n^4 n^3 n^2 n 1 is prime)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  75. ^ Sloane, N. J. A. (ed.). "Sequence A006318 (Large Schröder numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  76. ^ Sloane, N. J. A. (ed.). "Sequence A002955 (Number of (unordered, unlabeled) rooted trimmed trees with n nodes)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  77. ^ Sloane, N. J. A. (ed.). "Sequence A045575 (Leyland numbers of the second kind)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
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