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A218718
a(n) is smallest number such that a(n)^2 + 1 is divisible by 89^n.
2
0, 34, 3861, 344464, 20099637, 2153335831, 102666405913, 4867146503697, 923990886302412, 50251663587824641, 5655954122907587985, 909925832091926912414, 85120439454684773642745, 2631773999763198769695986, 41332517834853462204330752
OFFSET
0,2
EXAMPLE
a(3) = 344464 because 344464^2+1 = 37 * 89 ^ 3 * 4549.
MATHEMATICA
b=34; n89=89; jo=Join[{0, b}, Table[n89=89*n89; b=PowerMod[b, 89, n89]; b=Min[b, n89-b], {99}]]
KEYWORD
nonn
AUTHOR
Michel Lagneau, Nov 04 2012
STATUS
approved