A191549 - OEIS

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A191549

Least number k such that kn + 1 is a prime dividing prime(n)^n - 1.

10, 1, 644, 1, 3663738, 2, 2, 1, 2, 1, 910, 417, 2, 1, 8, 1, 39547926178950768553863180373284, 33, 6, 1, 2, 1943509, 4, 3, 88, 1, 248, 1, 42284686073214306750946346164468593496471283975461929077356416, 3, 22896, 1481424868782, 1634, 1, 22260, 1077, 2, 1

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OFFSET

3,1

LINKS

Table of n, a(n) for n=3..40.

EXAMPLE

a(3) = 10 because 10*3 + 1 = 31 and this number is the smallest prime divisor of the form kn+1

dividing prime(3)^3 - 1 = 5^3-1 = 124 = 2^2*31.

MATHEMATICA

Table[p=First/@FactorInteger[Prime[ n]^n-1]; (Select[p, Mod[#1, n] == 1 &,

1][[1]] - 1)/(n), {n, 3, 40}]

CROSSREFS

Cf. A191548.

Sequence in context: A048176 A127616 A277394 * A285647 A287975 A288365

Adjacent sequences: A191546 A191547 A191548 * A191550 A191551 A191552

KEYWORD

nonn

AUTHOR

Michel Lagneau, Jun 05 2011

STATUS

approved

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