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Search: id:A082418
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A082418 Numbers n such that P(n) > P(n+1) < P(n+2), where P(n) = largest prime factor of n (A006530). +0
3
3, 5, 7, 11, 15, 17, 19, 23, 26, 29, 31, 35, 39, 41, 44, 47, 49, 51, 53, 55, 59, 63, 65, 67, 69, 71, 74, 76, 80, 83, 87, 89, 95, 97, 99, 101, 104, 107, 109, 111, 113, 116, 119, 124, 127, 129, 131, 134, 137, 139, 143, 146, 149, 153, 155, 159, 161, 164, 167, 174, 179, 181, 183 (list; graph; listen)
OFFSET

1,1

REFERENCES

Antal Balog, On the largest prime factor of consecutive integers, Abstracts Amer. Math. Soc., 25 (No. 2, 2002), p. 337, #975-11-76.

P. Erdos and C. Pomerance, On the largest prime factors of n and n+1, Aequationes Math. vol. 17, 1978, pp. 311-321.

LINKS

T. D. Noe, Table of n, a(n) for n=1..1000

FORMULA

a(n) = A100390(n) - 1. - T. D. Noe, Nov 26 2007

CROSSREFS

Cf. A006530, A082417-A082422, A071869, A071870.

Adjacent sequences: A082415 A082416 A082417 this_sequence A082419 A082420 A082421

Sequence in context: A072151 A029626 A111622 this_sequence A085493 A139252 A076245

KEYWORD

nonn

AUTHOR

njas, Apr 25 2003

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


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