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A070303 Primes p such that the equation p^2x^2==0 (mod p^2+x^2) has no solution. 1
3, 7, 11, 13, 19, 23, 29, 31, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 199, 211, 223, 227, 229, 233, 239, 241, 251, 263, 269, 271, 277, 281, 283, 293, 307, 311 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..57.

FORMULA

Primes not in A002496 (i.e., not of the form k^2+1).

a(n) ~ n log n. - Charles R Greathouse IV, Sep 30 2012

PROG

(PARI) for(n=1, 350, if(0==sum(i=1, n^2, if((n^2*i^2)%(n^2+i^2), 1-isprime(n), 1)), print1(n, ", ")))

(PARI) is(n)=isprime(n) && !issquare(n-1) \\ Charles R Greathouse IV, Sep 30 2012

(PARI) print1(3); forstep(k=2, 9, 2, forprime(p=k^2+3, (k+2)^2, print1(", "p))) \\ Charles R Greathouse IV, Sep 30 2012

CROSSREFS

Sequence in context: A257057 A310197 A090456 * A256863 A136087 A091250

Adjacent sequences:  A070300 A070301 A070302 * A070304 A070305 A070306

KEYWORD

easy,nonn

AUTHOR

Benoit Cloitre, May 10 2002

STATUS

approved

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Last modified January 19 20:21 EST 2019. Contains 319310 sequences. (Running on oeis4.)