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A004614 Numbers that are divisible only by primes congruent to 3 mod 4. +0
9
1, 3, 7, 9, 11, 19, 21, 23, 27, 31, 33, 43, 47, 49, 57, 59, 63, 67, 69, 71, 77, 79, 81, 83, 93, 99, 103, 107, 121, 127, 129, 131, 133, 139, 141, 147, 151, 161, 163, 167, 171, 177, 179, 189, 191, 199, 201, 207, 209, 211, 213, 217, 223, 227, 231, 237, 239, 243, 249, 251 (list; graph; listen)
OFFSET

1,2

COMMENT

Numbers whose factorization as Gaussian integers is the same as their factorization as integers. - Frank Adams-Watters (FrankTAW(AT)Netscape.net), Oct 14 2005

LINKS

T. D. Noe, Table of n, a(n) for n=1..10000

PROGRAM

(PARI) for(n=1, 1000, if(sumdiv(n, d, isprime(d)*if((d-3)%4, 1, 0))==0, print1(n, ", ")))

(PARI) forstep(n=1, 999, 2, for(j=1, #t=factor(n)[, 1], t[j]%4==1&next(2)); print1(n", ")) - M. F. Hasler (MHasler(AT)univ-ag.fr), Feb 26 2008

CROSSREFS

Cf. A004613.

Sequence in context: A156770 A088630 A129747 this_sequence A112398 A167800 A003538

Adjacent sequences: A004611 A004612 A004613 this_sequence A004615 A004616 A004617

KEYWORD

nonn

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

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Last modified November 23 17:09 EST 2009. Contains 167438 sequences.


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