A383926 -id:A383926 - cp's OEIS frontend

A383923 Numbers of the form m^p where both p and (m^(p^2) - 1)/(m^p - 1) are prime.

4, 8, 16, 27, 36, 100, 196, 256, 400, 512, 576, 676, 1296, 1331, 1600, 2916, 3136, 4356, 5476, 7056, 8000, 8100, 8836, 9261, 12100, 13456, 14400, 15376, 15876, 16900, 17576, 17956, 21316, 22500, 24336, 25600, 27000, 28900, 30976, 32400, 33856, 41616, 42436, 44100, 50176, 52900

Offset: 1

Max Alekseyev, May 15 2025

nonn

Primes (m^(p^2) - 1)/(m^p - 1) are listed in A383924.
Permutation of A383926.
Cf. A383925.

A383924 Primes of the form (m^(p^2) - 1)/(m^p - 1) with a prime p, sorted with respect to the value of m^p.

Original entry on oeis.org

5, 73, 17, 757, 37, 101, 197, 257, 401, 513, 577, 677, 1297, 1772893, 1601, 2917, 3137, 4357, 5477, 7057, 64008001, 8101, 8837, 85775383, 12101, 13457, 14401, 15377, 15877, 16901, 308933353, 17957, 21317, 22501, 24337, 25601, 729027001, 28901, 30977, 32401, 33857, 41617, 42437, 44101

Offset: 1

Max Alekseyev, May 15 2025

nonn

The corresponding values of m^p are listed in A383923.
Permutation of A383925.
Cf. A383926.

A383925 Primes of the form (m^(p^2) - 1)/(m^p - 1) with prime p and integer m >= 2.

Original entry on oeis.org

5, 17, 37, 73, 101, 197, 257, 401, 577, 677, 757, 1297, 1601, 2917, 3137, 4357, 5477, 7057, 8101, 8837, 12101, 13457, 14401, 15377, 15877, 16901, 17957, 21317, 22501, 24337, 25601, 28901, 30977, 32401, 33857, 41617, 42437, 44101, 50177, 52901, 55697, 57601, 62501, 65537, 67601, 69697

Offset: 1

Max Alekseyev, May 15 2025

nonn

Corresponding values of m^p are listed in A383926.
Permutation of A383924.
Cf. A383923.

cp's OEIS Frontend

A383923 Numbers of the form m^p where both p and (m^(p^2) - 1)/(m^p - 1) are prime.

Views

Author

Keywords

Crossrefs

A383924 Primes of the form (m^(p^2) - 1)/(m^p - 1) with a prime p, sorted with respect to the value of m^p.

Views

Author

Keywords

Crossrefs

A383925 Primes of the form (m^(p^2) - 1)/(m^p - 1) with prime p and integer m >= 2.

Views

Author

Keywords

Crossrefs