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A122036 Odd abundant numbers (A005231) which are not in A136446. +0
2
351351 (list; graph; listen)
OFFSET

1,1

COMMENT

It is conjectured that there are no odd weird numbers (A006037), i.e. that all odd abundant numbers (A005231) are pseudoperfect (A005835); this sequence lists those which are not equal to the sum of a subset of proper divisors > 1.

PROGRAM

(PARI) forstep(i=1, 10^7, 2, sigma(i)>2*i | next; isA005835(i, vecextract(divisors(i), "2..-2")) | print1(i", "))

CROSSREFS

Adjacent sequences: A122033 A122034 A122035 this_sequence A122037 A122038 A122039

Sequence in context: A015321 A069314 A022208 this_sequence A140942 A050515 A034630

KEYWORD

nonn,bref,more,nice

AUTHOR

njas, Apr 11 2008, following correspondence from R. K. Guy, M. F. Hasler and othes.

EXTENSIONS

Comments and PARI code from M. F. Hasler, Apr 12 2008

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Last modified October 12 11:54 EDT 2008. Contains 144829 sequences.


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