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A167416 Smallest prime concatenation of the first n primes. 1
2, 23, 523, 5237, 115237, 11315237, 1117523137, 111752313719, 11175231371923 (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) => 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

Eva-Maria Zschorn (e-m.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

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Last modified April 18 14:03 EDT 2021. Contains 343088 sequences. (Running on oeis4.)