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A144147
A positive integer n is included if every exponent in the prime-factorization of n is coprime to n and if the sum of these prime-factorization exponents divides n.
0
2, 3, 5, 6, 7, 10, 11, 13, 14, 17, 19, 22, 23, 26, 29, 30, 31, 34, 37, 38, 40, 41, 42, 43, 45, 46, 47, 53, 56, 58, 59, 61, 62, 63, 66, 67, 71, 73, 74, 75, 78, 79, 82, 83, 86, 88, 89, 94, 96, 97, 99, 101, 102, 103, 104, 105, 106, 107, 109, 113, 114, 117, 118, 122, 127, 131
OFFSET
1,1
COMMENTS
All primes are included in the sequence. Any integer = 2*(odd prime) is included in the sequence. This sequence contains those terms in both sequence A074946 and sequence A144146.
EXAMPLE
40 has the prime factorization of 2^3 * 5^1. The exponents are therefore 3 and 1. Both 3 and 1 are coprime to 40. And 3+1 = 4 divides 40. So 40 is included in the sequence.
CROSSREFS
KEYWORD
nonn
AUTHOR
Leroy Quet, Sep 11 2008
EXTENSIONS
Extended by Ray Chandler, Nov 04 2008
STATUS
approved