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A097144 Primes not appearing in A097143. 1
3, 5, 17, 59, 73, 79, 97, 103, 107, 113, 131, 139, 149, 151, 157, 163, 167, 179, 181, 199, 211, 223, 229, 281, 283, 307, 311, 331, 337, 359, 367, 373, 379, 397, 461, 467, 487, 491, 503, 509, 523, 541, 547, 563, 569, 571, 577, 587, 599, 607, 631, 643, 647, 659 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
a(10^n): 3,113,1193,18143,228961,2765969,32509913,.., .
Conjecture: Lim_n->Inf a(n)/A097143(n) = 1 <==> a(P_2n).
LINKS
Eric Weisstein's World of Mathematics, Quadratic Residue.
MATHEMATICA
a[1] = 2; a[n_] := a[n] = Block[{k = PrimePi[ a[n - 1]] + 1}, While[JacobiSymbol[n, Prime[k]] != 1, k++ ]; Prime[k]]; Complement[ Prime[ Range[ PrimePi[1229]]], Table[ a[n], {n, 100}]]
CROSSREFS
Complement of A097143.
Sequence in context: A271659 A357442 A049540 * A219108 A176964 A085749
KEYWORD
nonn
AUTHOR
Robert G. Wilson v, Jul 26 2004
STATUS
approved

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Last modified August 30 11:14 EDT 2024. Contains 375543 sequences. (Running on oeis4.)