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A063765 Least integer m whose largest prime factor > m^(n/(n+1)). +0
1
6, 10, 22, 34, 74, 134, 262, 514, 1042, 2062, 4106, 8198, 16418, 32822, 65542, 131074, 262202, 524294, 1048618, 2097166, 4194338, 8388638, 16777234, 33554518, 67108934, 134217758, 268435514, 536870918, 1073741846, 2147483654 (list; graph; listen)
OFFSET

1,1

COMMENT

a(n) > 2^(n+1); in fact a(n) = 2 * first prime which exceeds 2^n.

MATHEMATICA

k = 2; Do[ While[ PrimeQ[ k ] || FactorInteger[ k ] [[ -1, 1 ] ] <= k^(n/(n + 1)), k++ ]; Print[ k ], {n, 1, 35} ]

CROSSREFS

2*A014210(n).

Sequence in context: A157037 A082917 A108605 this_sequence A085712 A145351 A166305

Adjacent sequences: A063762 A063763 A063764 this_sequence A063766 A063767 A063768

KEYWORD

nonn

AUTHOR

Robert G. Wilson v (rgwv(AT)rgwv.com), Aug 14 2001

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Last modified November 24 23:16 EST 2009. Contains 167481 sequences.


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