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A135932 Primes whose integer square root remainder is also prime. +0
1
3, 7, 11, 19, 23, 41, 43, 47, 67, 71, 83, 103, 107, 113, 149, 151, 157, 163, 167, 199, 227, 263, 269, 331, 337, 347, 353, 419, 431, 443, 487, 491, 503, 521, 587, 593, 599, 607, 613, 617, 619, 683, 719, 787, 797, 821, 827, 907, 911, 919, 929, 937, 941, 947 (list; graph; listen)
OFFSET

1,1

COMMENT

The integer square root of an integer x >= 0 can be defined as floor(sqrt(x)) and the remainder of this as x - (floor(sqrt(x)))^2.

LINKS

Wikipedia, Integer square root

PROGRAM

(PARI) { forprime(p=2, 2000, isr = sqrtint(p); Rem = p - isr*isr; if (isprime(Rem), print1(p, ", ") ) ) }

CROSSREFS

Sequence in context: A117991 A118260 A018805 this_sequence A105876 A141101 A098379

Adjacent sequences: A135929 A135930 A135931 this_sequence A135933 A135934 A135935

KEYWORD

nonn

AUTHOR

Harry J. Smith (hjsmithh(AT)sbcglobal.net), Dec 07 2007

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Last modified December 20 16:54 EST 2009. Contains 171081 sequences.


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