cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

Showing 1-2 of 2 results.

A189125 Primes p such that A005245(p) < A005245(p-1)+1.

Original entry on oeis.org

353942783, 1163385647, 1932319583, 2336924879, 4166809919, 4937621453, 5123340683, 5184740299, 5390865059, 5455982879, 5467766947, 6432033887, 6459553799, 6545574839, 6714582263, 6988649399, 7378517519, 7515851039, 7657182539, 7756383347
Offset: 1

Views

Author

Max Alekseyev, Apr 17 2011

Keywords

Comments

Counterexamples to the conjecture from section F26 in UPINT.
a(1) was found by Martin Fuller; a(2) was found by Janis Iraids.
The prime terms of each of the sequences A189123 and A189124.

References

  • R. K. Guy, Unsolved Problems in Number Theory, Section F26.

Links

Crossrefs

Cf. A005245, A189123, A189124.

Extensions

More terms from Janis Iraids, Apr 20 2011.

A189123 Positive integers n such that A005245(n-i) + A005245(i) < A005245(n-1) + 1 for some i, 1 < i < n.

Original entry on oeis.org

21080618, 63241604, 67139098, 116385658, 117448688, 126483083, 152523860, 189724562, 212400458, 229762259, 318689258, 348330652, 353942783, 366873514, 373603732, 379448999, 385159320, 404764540, 409108300, 460759642, 465722100, 477258719, 498197068, 511069678, 516743639, 519835084, 538858312, 545438698, 545790940, 546853138, 574842670, 575550972, 581106238, 590785918
Offset: 1

Views

Author

Max Alekseyev, Apr 17 2011

Keywords

Comments

Counterexamples to the first conjecture of David Wilson on A005245.
a(1) was found by Igor aka CD_Eater from Moscow in January, 2008
Prime terms are listed in A189125.

Links

Crossrefs

Cf. A005245, A189124, A189125
Showing 1-2 of 2 results.

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