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A081412 Largest prime divisors of differences between consecutive primes. +0
2
2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 3, 3, 2, 3, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 7, 2, 3, 2, 5, 2, 3, 3, 2, 3, 3, 2, 5, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 5, 3, 3, 3, 2, 3, 2, 2, 5, 7, 2, 2, 2, 7, 3, 5, 2, 2, 3, 2, 3, 3, 2, 3, 2, 2, 2, 5, 2, 5, 2, 3, 2, 3, 2, 2, 2, 2, 3, 2, 2, 2, 2, 3, 3, 2, 3, 3, 5, 3, 3, 2, 3, 5 (list; graph; listen)
OFFSET

2,1

COMMENT

If a(n)=2, then corresponding prime-difference is a power of 2.

FORMULA

a(n)=A006530[A001223(n)]

EXAMPLE

a(n)=2 for twin-prime differences.

MATHEMATICA

Table[FactorInteger[Prime[w+1]-Prime[w]][[ -1, 1]], {w, 2, 256}]

CROSSREFS

Cf. A001223, A006530, A081413, A000230.

Sequence in context: A001991 A147793 A052298 this_sequence A082863 A029411 A165093

Adjacent sequences: A081409 A081410 A081411 this_sequence A081413 A081414 A081415

KEYWORD

nonn

AUTHOR

Labos E. (labos(AT)ana.sote.hu), Apr 02 2003

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Last modified December 7 23:50 EST 2009. Contains 170430 sequences.


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