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A228227 Primes congruent to {7, 11} mod 16. 2
7, 11, 23, 43, 59, 71, 103, 107, 139, 151, 167, 199, 251, 263, 283, 311, 331, 347, 359, 379, 439, 443, 487, 491, 503, 523, 571, 587, 599, 619, 631, 647, 683, 727, 743, 811, 823, 827, 839, 859, 887, 907, 919, 967, 971, 983, 1019, 1031, 1051, 1063, 1163, 1223 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Union of A141194 and A141195.

Let p be a prime number and let E(p) denote the elliptic curve y^2 = x^3 + p*x. If p is in the sequence, then the rank of E(p) is 0. Therefore A060953(a(n)) = 0.

REFERENCES

J. H. Silverman, The arithmetic of elliptic curves, Springer, NY, 1986, p. 311.

LINKS

Arkadiusz Wesolowski, Table of n, a(n) for n = 1..1000

MATHEMATICA

Select[Prime@Range[200], MemberQ[{7, 11}, Mod[#, 16]] &]

PROG

(MAGMA) [p: p in PrimesUpTo(1223) | p mod 16 in {7, 11}]

CROSSREFS

Cf. A007519, A060953, A141194, A141195, A228228.

Sequence in context: A265768 A210001 A294074 * A107133 A079138 A319135

Adjacent sequences:  A228224 A228225 A228226 * A228228 A228229 A228230

KEYWORD

nonn

AUTHOR

Arkadiusz Wesolowski, Aug 16 2013

STATUS

approved

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Last modified January 27 12:01 EST 2020. Contains 331295 sequences. (Running on oeis4.)