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A002584 Largest prime factor of 2.3.5.7.11.13. ... - 1.
(Formerly M3952 N1628)
+0
8
1, 5, 29, 19, 2309, 30029, 8369, 929, 46027, 81894851, 876817, 38669, 304250263527209, 92608862041, 59799107, 1143707681, 69664915493, 1146665184811, 17975352936245519, 2140320249725509 (list; graph; listen)
OFFSET

1,2

REFERENCES

A. Borning, Some results for k!+-1 and 2.3.5...p+-1, Math. Comp., 26 (1972), 567-570.

M. Kraitchik, On the divisibility of factorials, Scripta Math., 14 (1948), 24-26 (but beware errors).

M. Kraitchik, Introduction \`{a} la Th\'{e}orie des Nombres. Gauthier-Villars, Paris, 1952, p. 2.

S. Kravitz and D. E. Penney, An extension of Trigg's table, Math. Mag., 48 (1975), 92-96.

LINKS

Hisanori Mishima, Factorizations of many number sequences

R. G. Wilson v, Explicit factorizations

MATHEMATICA

Prepend[Table[ Max[Transpose[FactorInteger[(Times @@ Prime[Range[i]]) - 1]][[1]]], {i, 2, 20}], 1]

CROSSREFS

Cf. A002585.

Sequence in context: A057206 A057713 A124987 this_sequence A001990 A043062 A053244

Adjacent sequences: A002581 A002582 A002583 this_sequence A002585 A002586 A002587

KEYWORD

nonn,nice

AUTHOR

njas

EXTENSIONS

More terms from J. L. Selfridge. Further terms from Labos E. (labos(AT)ana.sote.hu), Oct 25 2000.

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Last modified September 7 23:08 EDT 2008. Contains 143486 sequences.


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