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A225550 Primes p such that p^2 mod 37 is prime. 1
23, 59, 83, 89, 97, 139, 157, 163, 199, 281, 311, 347, 379, 421, 467, 503, 509, 541, 569, 577, 601, 607, 643, 823, 829, 911, 947, 953, 971, 977, 1013, 1021, 1051, 1087, 1193, 1249, 1429, 1471, 1489, 1531, 1613, 1619, 1637, 1693, 1753, 1873, 1901, 1933, 2063, 2081, 2087, 2131, 2137, 2161, 2243, 2309, 2377, 2383, 2531 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Or, primes p == {9, 14, 15, 22, 23, 28} (mod 37).

Corresponding values p^2 (mod 37): 11, 3, 7, 3, 11, 7, 7, 3, 11, 3, 3, 11, 7, 11, 11, 3, 7.

LINKS

Table of n, a(n) for n=1..59.

FORMULA

a(n) ~ 6n log n. - Charles R Greathouse IV, May 10 2013

EXAMPLE

23^2 = 529 and 529 mod 37 = 11 (prime).

MATHEMATICA

Select[Prime[Range[2400]], PrimeQ[PowerMod[#, 2, 37]] &]

PROG

(PARI) forprime (p = 2, 2351, isprime (p^2 %37) & print1 (p ", "))

(MAGMA) [p: p in PrimesUpTo(3000) | IsPrime(p^2 mod 37)]; // Bruno Berselli, May 10 2013

CROSSREFS

Cf. A045432.

Sequence in context: A043169 A043949 A005111 * A179629 A274381 A044125

Adjacent sequences:  A225547 A225548 A225549 * A225551 A225552 A225553

KEYWORD

nonn,easy

AUTHOR

Zak Seidov, May 10 2013

STATUS

approved

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Last modified May 26 09:27 EDT 2019. Contains 323579 sequences. (Running on oeis4.)