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A056915 Strong pseudoprimes to bases 2, 3 and 5, i.e. intersection of A001262, A020229 and A020231. +0
2
25326001, 161304001, 960946321, 1157839381, 3215031751, 3697278427, 5764643587, 6770862367, 14386156093, 15579919981, 18459366157, 19887974881, 21276028621 (list; graph; listen)
OFFSET

1,1

COMMENT

These first 13 numbers are the only ones less than 25*10^9 which are simultaneously strong pseudoprimes to bases 2, 3 and 5. Taken from the same table - which indicates (only) whether they are also strong pseudoprime (spsp) or pseudoprime (psp) to base 7, 11 and/or 13: 161304001 is spsp to 11; 3215031751 is spsp to base 7 and is psp to both bases 11 and 13; 5764643587 is spsp to base 13; 14386156093 is psp to bases 7, 11 and 13. 15579919981 is psp to base 7 and spsp to base 11; 19887974881 is psp to base 7; and 21276028621 is psp to bases 11 and 13.

REFERENCES

Pomerance, C., Selfridge, J.L. and Wagstaff, Jr., S.S. The pseudoprimes to 25.10^9. Math. Comp., 35, 1980, pp. 1003-1026.

P. Ribenboim, The Little Book of Big Primes. Springer-Verlag, NY, 1991, pp. 82-83.

LINKS

Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.

Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.

Index entries for sequences related to pseudoprimes

CROSSREFS

Cf. A001262, A020229, A020231.

Adjacent sequences: A056912 A056913 A056914 this_sequence A056916 A056917 A056918

Sequence in context: A115533 A083636 A124069 this_sequence A112130 A120702 A113026

KEYWORD

nice,nonn

AUTHOR

Rick L. Shepherd (rshepherd2(AT)hotmail.com), Feb 12 2002

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Last modified October 10 20:39 EDT 2008. Contains 144831 sequences.


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