

A090689


Repeated primes in first occurrence in the progression kx^21.


0



3, 7, 19, 43, 59, 67, 83, 89, 103, 107, 131, 139, 163, 179, 197, 199, 211, 223, 227, 251, 263, 283, 307, 311, 331, 347, 359, 367, 379, 383, 419, 443, 463, 467, 479, 487, 491, 499, 503, 521, 523, 547, 563, 571, 587, 619, 643, 647, 659, 683, 691, 739, 743, 751
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OFFSET

1,1


COMMENTS

These primes are of the form 4n+3 but some primes of the form 4n+3 such as 11,23,31,47, etc. are excluded. The program generates the duplicates. All but one were removed manually.


LINKS



EXAMPLE

467 occurs 3 times in the first occurrence for combinations of k and x in kx^21.


PROG

(PARI) mx2pmp(n, m) = { v=vector(n+1); c=0; for(a=1, n, for(x=1, n, y = a*x^21; if(isprime(y), c++; v[c]=y; break); ); ); v1=vecsort(v); for(j=1, n, if(v1[j]<>0 && v1[j]==v1[j+1], print1(v1[j]", "))) }


CROSSREFS



KEYWORD

easy,nonn


AUTHOR



STATUS

approved



