A064164 -id:A064164 - cp's OEIS frontend

A064229 Smallest prime p associated with A064164(n).

61, 71, 83, 23, 59, 61, 661, 23, 71, 20639383, 439429, 521, 79, 811, 1697, 14557, 1080941, 257, 2281, 50989, 67411, 137, 83, 14029308060317546154181, 57554485363, 59, 70552493296669, 59, 694763, 293, 6007711, 12893, 1021, 149, 71, 24324571, 9293, 12318573951317236818169524329

Offset: 1

N. J. A. Sloane, Sep 23 2001

			8!+1 = 61*661 and 61 is not 1 mod 8, so the first term is 61.

Amiram Eldar, Table of n, a(n) for n = 1..120

choose(n) = {my(f=factor(n!+1)[, 1]); for(i=1, #f, if(f[i]%n != 1, return(f[i]))); 0; }
lista(nn) = for(k=1, nn, if(choose(k)>1, print1(choose(k), ", "))); \\ Jinyuan Wang, Oct 03 2019

More terms from Don Reble, Sep 23 2001

A079525 Erroneous version of A064164 given in the reference.

Original entry on oeis.org

8, 9, 13, 14, 15, 16, 17, 18, 19, 22

Offset: 1

dead

G. E. Hardy and M. V. Subbarao, A modified problem of Pillai and some related questions, Amer. Math. Monthly 109 (2002), no. 6, 554-559.

A064295 Numbers k such that every (prime) factor of k!+1 is one more than a multiple of k.

Original entry on oeis.org

1, 2, 3, 4, 5, 6, 7, 10, 11, 12, 25, 27, 28, 37, 41, 46, 73, 77, 116

Offset: 1

Don Reble, Sep 25 2001

a(20) >= 140. - Max Alekseyev, Feb 19 2024

			46 is in the list because 46!+1 = 47 * 268662306503771535067 * 435777793891607546778854755077304349 and all of those factors are = 1 mod 46.

H. Mishima, Factors of N!+1

Complement of A064164, superset of A002981.

a(19) from Amiram Eldar, Oct 03 2019

cp's OEIS Frontend

A064229 Smallest prime p associated with A064164(n).

Views

Author

Keywords

Examples

Links

Programs

PARI

Extensions

A079525 Erroneous version of A064164 given in the reference.

Views

Author

Keywords

References

A064295 Numbers k such that every (prime) factor of k!+1 is one more than a multiple of k.

Views

Author

Keywords

Comments

Examples

Links

Crossrefs

Extensions