

A109461


Mersenne's original list of "Mersenne" exponents.


0



2, 3, 5, 7, 13, 17, 19, 31, 67, 127, 257
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refs;
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OFFSET

1,1


COMMENTS

Primes appearing in Mersenne's original list (Cogitata PhysicaMathematica, 1644) that attempted to list all p such that 2^p  1 is prime (now known as Mersenne primes). Compared to the correct list of exponents that produce Mersenne primes (A000043), this list leaves out the correct values 61, 89 and 107 and includes the incorrect values 67 and 257.


REFERENCES

George P. Loweke, The Lore of Prime Numbers. New York: Vantage Press (1982): 46.


LINKS

Table of n, a(n) for n=1..11.
Chris Caldwell, Prime Pages: Mersenne Primes: History, Theorems and Lists
Marin Mersenne, Cogitata physicomathematica (1644)


CROSSREFS

Cf. A000043.
Sequence in context: A000043 A109799 A152961 * A138539 A337119 A090422
Adjacent sequences: A109458 A109459 A109460 * A109462 A109463 A109464


KEYWORD

nonn,full,fini,changed


AUTHOR

Jon Wild, Aug 07 2006


STATUS

approved



