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A002584 Largest prime factor of 2.3.5.7.11.13. ... - 1.
(Formerly M3952 N1628)
7
1, 5, 29, 19, 2309, 30029, 8369, 929, 46027, 81894851, 876817, 38669, 304250263527209, 92608862041, 59799107, 1143707681, 69664915493, 1146665184811, 17975352936245519, 2140320249725509 (list; graph; refs; listen; history; internal format)
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.

N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

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 * A001990 A043062 A053244

Adjacent sequences:  A002581 A002582 A002583 * A002585 A002586 A002587

KEYWORD

nonn,nice

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

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 February 17 08:40 EST 2012. Contains 205998 sequences.