

A273774


Decimal expansion of Jevon's number.


0




OFFSET

10,1


COMMENTS

William Stanley Jevons apparently thought it was unlikely that anyone could factor this number. On modern computers, however, this task takes just a fraction of a second. For example, PARI almost instantly returns 8616460799 = 89681 * 96079.
Donald E. Knuth points out that "Fermat could have factored N in less than 10 minutes, on the back of an envelope".


REFERENCES

D. E. Knuth, The Art of Computer Programming, Volume 2, Seminumerical Algorithms, Third Edition.


LINKS

Table of n, a(n) for n=10..19.
S. W. Golomb, On factoring Jevons' number, Cryptologia, Vol. 20, No. 3 (1996), 243246.
W. S. Jevons, The Principles of Science  A treatise on logic and scientific method, (1913), 123 (digitized copy at the Internet Archive).
D. N. Lehmer, A theorem in the theory of numbers, Bulletin of the American Mathematical Society, Vol. 13, No. 10 (1907), 501502.
MathWorld, Jevons' Number.
Numericana, Factoring into primes (see "(20090117) Jevon's number: 8616460799").


EXAMPLE

The number is the integer 8616460799.


PROG

(PARI) digits(8616460799)


CROSSREFS

Sequence in context: A153101 A281822 A130787 * A153493 A113212 A275008
Adjacent sequences: A273771 A273772 A273773 * A273775 A273776 A273777


KEYWORD

nonn,cons,fini,full


AUTHOR

Felix FrÃ¶hlich, May 29 2016


STATUS

approved



