A265727 Least primitive weird number, pwn, (A002975) which is divisible by the n-th prime (A000040).

70, 70, 836, 4030, 17272, 836, 7912, 7192, 4030, 113072, 83312, 7912, 8812312, 5830, 4199030, 9272, 91388, 10792, 23941578736, 786208, 682592, 569494624, 555616, 539744, 15126992, 73616, 519712

Offset

3,1

Comments

No odd weird number exists below 10^21. The search is done on the volunteer computing project yoyo@home. - Wenjie Fang, Feb 23 2014

As of Dec 14 2015, there is no known pwn which is divisible by 3. Therefore the offset denotes the third prime number, 5.

Links

Table of n, a(n) for n=3..29.

Douglas E. Iannucci, On primitive weird numbers of the form 2^k*p*q, arXiv:1504.02761 [math.NT], 2015.

Linked In, Number Theory, A very big weird number

Giuseppe Melfi, On the conditional infiniteness of primitive weird numbers, Journal of Number Theory, Vol. 147, Feb 2015, pp. 508-514.

Wikipedia, Weird number.

Example

a(6) is 4030 since it is the first pwn to be divisible by the sixth prime number, 13. 4030 = 13 * 310.

Mathematica

(* copy the terms from A002975, assign them equal to 'lst' and then *) f[n_] := Select[lst, Mod[#, Prime@ n] == 0 &][[1]]; Array[f, 27, 3]

Crossrefs

Cf. A002975, A258250, A258333, A258374, A258375, A258401, A258882, A258883, A258884, A258885, A265726, A265728.

Sequence in context: A156810 A252714 A245046 * A166506 A345497 A078291

Adjacent sequences: A265724 A265725 A265726 * A265728 A265729 A265730

Keyword

nonn

Author

Douglas E. Iannucci and Robert G. Wilson v, Dec 14 2015

Status

approved