

A167416


Smallest 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) => smallest is a(4) = 5237;
(3) a(7) is not formed of 7th prime 17 and a(6)=11315237 but from 11523137 and 17.


CROSSREFS

Sequence in context: A255907 A054260 A053160 * A053066 A167417 A053161
Adjacent sequences: A167413 A167414 A167415 * A167417 A167418 A167419


KEYWORD

nonn,fini,full,base


AUTHOR

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


EXTENSIONS

Keyword:full added by R. J. Mathar, Nov 11 2009
Edited by Charles R Greathouse IV, Apr 28 2010


STATUS

approved



