A179397 a(n) = prime(n)^2 mod prime(n-2).
1, 1, 1, 1, 3, 10, 2, 5, 18, 6, 7, 36, 36, 14, 3, 11, 5, 39, 36, 64, 27, 21, 30, 55, 36, 36, 36, 36, 106, 98, 100, 64, 7, 5, 64, 144, 100, 100, 144, 64, 144, 144, 36, 36, 196, 178, 45, 36, 36, 100, 64, 144, 15, 144, 144, 64, 64, 100, 36, 144, 10, 31, 36, 36, 11, 83, 256, 144, 36, 100, 196, 196, 144, 100, 100, 196
Offset: 3
Keywords
Examples
a(1) = 5^2 mod 2 = 25 mod 2 = 1; a(2) = 7^2 mod 3 = 49 mod 3 = 1; a(3) = 11^2 mod 5 = 121 mod 5 = 1; a(4) = 13^2 mod 7 = 169 mod 7 = 1; a(5) = 17^2 mod 11 = 289 mod 11 = 3.
Links
- Harvey P. Dale, Table of n, a(n) for n = 3..1000
Crossrefs
Cf. A038702.
Programs
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Maple
A179397 := proc(n) ithprime(n)^2 mod ithprime(n-2); end proc: # R. J. Mathar, Jan 09 2011
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Mathematica
PowerMod[#[[3]],2,#[[1]]]&/@Partition[Prime[Range[80]],3,1] (* Harvey P. Dale, Oct 21 2018 *)