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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, BirkhĂ¤user 1984. Richard E. Crandall, Carl Pomerance, Prime Numbers, Springer 2005. Paulo Ribenboim, The New Book of Prime Number Records, Springer 1996. LINKS 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.)