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A082957 Numbers n such that sigma(2n)<sigma(2n+1). +0
1
1, 31, 37, 67, 73, 97, 127, 157, 199, 202, 229, 241, 247, 262, 277, 283, 307, 313, 331, 337, 346, 367, 379, 382, 397, 409, 427, 457, 472, 487, 499, 517, 547, 562, 577, 607, 619, 643, 661, 697, 727, 757, 769, 787, 823, 829, 841, 877, 892, 907, 913, 922, 937 (list; graph; listen)
OFFSET

1,2

COMMENT

there are 2301 primes and 3169 composites among the 5470 first terms. Does limit n->infinity card(k : a(k) prime)/card(k : a(k) composite) > 0 ?

FORMULA

conjecture : a(n) is asymptotic to c*n where 18<c<18.5

CROSSREFS

Adjacent sequences: A082954 A082955 A082956 this_sequence A082958 A082959 A082960

Sequence in context: A073521 A129998 A097437 this_sequence A067826 A107013 A107012

KEYWORD

nonn

AUTHOR

Benoit Cloitre (benoit7848c(AT)orange.fr), May 26 2003

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Last modified October 7 14:39 EDT 2008. Contains 144666 sequences.


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