A058771 Numbers k such that k * (1+i)^k - 1 is a Gaussian prime.

2, 4, 8, 12, 25, 30, 47, 52, 61, 100, 108, 142, 150, 167, 198, 387, 407, 648, 782, 858, 1973, 2940, 2964, 3638, 4433, 4921, 14072, 27192, 37171, 41604, 48470, 72780

Offset

1,1

Comments

Apparently uses a non-standard definition of a Gaussian prime. Let k*(1+i)^k-1 = a+b*i, then k is in this sequence if a+b*i is a Gaussian prime or b=0 and abs(a) is an ordinary prime. - Sean A. Irvine, Aug 13 2022

Links

Table of n, a(n) for n=1..32.

Index entries for Gaussian integers and primes

Mathematica

Do[ If[ PrimeQ[ n * (1 + I)^n - 1], Print[n] ], {n, 1, 5000} ]

Crossrefs

Sequence in context: A004653 A115386 A306491 * A358512 A036493 A082906

Adjacent sequences: A058768 A058769 A058770 * A058772 A058773 A058774

Keyword

nonn,more

Author

Robert G. Wilson v, Jan 02 2001

Status

approved