A383923 -id:A383923 - cp's OEIS frontend

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.

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.

A383926 Powers m^p with prime p, producing primes (m^(p^2) - 1)/(m^p - 1) in A383925.

Original entry on oeis.org

4, 16, 36, 8, 100, 196, 256, 400, 576, 676, 27, 1296, 1600, 2916, 3136, 4356, 5476, 7056, 8100, 8836, 12100, 13456, 14400, 15376, 15876, 16900, 17956, 21316, 22500, 24336, 25600, 28900, 30976, 32400, 33856, 41616, 42436, 44100, 50176, 52900, 55696, 57600, 62500, 65536, 67600, 69696

Offset: 1

Max Alekseyev, May 15 2025

nonn

Permutation of A383923.

Cf. A383924, A383925.

a(n) = m^p with a prime p such that (a(n)^p - 1)/(a(n) - 1) = A383925(n).

cp's OEIS Frontend

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.

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

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A383926 Powers m^p with prime p, producing primes (m^(p^2) - 1)/(m^p - 1) in A383925.

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