A112092 -id:A112092 - cp's OEIS frontend

A379639 Smallest primitive prime factor of 6^n-1.

5, 7, 43, 37, 311, 31, 55987, 1297, 19, 11, 23, 13, 3433, 29, 1171, 17, 239, 46441, 191, 241, 1822428931, 51828151, 47, 1678321, 18198701, 53, 163, 421, 7369130657357778596659, 1950271, 5333, 353, 67, 190537, 71, 73, 149, 1787, 3143401, 41, 8648131, 2527867231

Offset: 1

Sean A. Irvine, Dec 28 2024

nonn

Also, smallest prime p such that 1/p has senary period n.

Max Alekseyev, Table of n, a(n) for n = 1..436 (first 420 terms from Sean A. Irvine)

Cf. A112927 (base 2), A143663 (base 3), A112092 (base 4), A143665 (base 5), A379639 (base 6), A379640 (base 7), A379641 (base 8), A379642 (base 9), A007138 (base 10), A379644 (base 11), A252170 (base 12).

Cf. A274907.

listap(nn) = {prf = []; for (n=1, nn, vp = (factor(6^n-1)[, 1])~; f = setminus(Set(vp), Set(prf)); prf = concat(prf, f); print1(vecmin(Vec(f)), ", "); ); }

A379644 Smallest primitive prime factor of 11^n-1.

Original entry on oeis.org

2, 3, 7, 61, 3221, 37, 43, 7321, 1772893, 13421, 15797, 13, 1093, 1623931, 195019441, 17, 50544702849929377, 590077, 6115909044841454629, 212601841, 1723, 23, 829, 10657, 3001, 53, 5559917315850179173, 29, 523, 31, 50159, 51329, 661, 71707, 211, 3138426605161

Offset: 1

Sean A. Irvine, Dec 28 2024

nonn

Also, smallest prime p such that 1/p has undecimal period n.

Max Alekseyev, Table of n, a(n) for n = 1..330 (first 253 terms from Sean A. Irvine)

Cf. A274910.

listap(nn) = {prf = []; for (n=1, nn, vp = (factor(11^n-1)[, 1])~; f = setminus(Set(vp), Set(prf)); prf = concat(prf, f); print1(vecmin(Vec(f)), ", "); ); }

cp's OEIS Frontend

A379639 Smallest primitive prime factor of 6^n-1.

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