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A167417 Largest prime concatenation of the first n primes. 1
2, 23, 523, 7523, 751123, 71151323, 7115117323, 711913152317, 71231915117323 (list; graph; refs; listen; history; text; internal format)
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, Birkhäuser 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

Eva-Maria Zschorn (e-m.zschorn(AT)zaschendorf.km3.de), Nov 03 2009

EXTENSIONS

Edited by Charles R Greathouse IV, Apr 28 2010

STATUS

approved

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Last modified April 10 22:05 EDT 2021. Contains 342856 sequences. (Running on oeis4.)