

A167417


Largest prime concatenation of the first n primes.


1




OFFSET

1,1


COMMENTS

Sequence is finite (9 terms only), because sum of first 10 primes: 2+3+5+7+11+13+17+19+23+29 = 3 * 43


REFERENCES

A. Weil, Number theory: an approach through history, BirkhĂ¤user 1984.
Richard E. Crandall, Carl Pomerance, Prime Numbers, Springer 2005.
Paulo Ribenboim, The New Book of Prime Number Records, Springer 1996.


LINKS

Table of n, a(n) for n=1..9.


EXAMPLE

(1) for a(1)=2, a(2)=23, a(3)=523 no other possibility;
(2) for calculating a(4) the 4th prime 7 is to concatenate: 5237, 5273, 7523 are prime (but 5723=59 * 97) => largest is a(4) = 7523;
(3) a(6) is not formed of 6th prime 13 and a(5)=751123 but from 711523 and 13.


CROSSREFS

Sequence in context: A053160 A167416 A053066 * A053161 A090731 A090314
Adjacent sequences: A167414 A167415 A167416 * A167418 A167419 A167420


KEYWORD

fini,nonn,full,base


AUTHOR

EvaMaria Zschorn (em.zschorn(AT)zaschendorf.km3.de), Nov 03 2009


EXTENSIONS

Edited by Charles R Greathouse IV, Apr 28 2010


STATUS

approved



