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A019518 Smarandache-Wellin numbers: a(n) = concatenation of first n primes. +0
36
2, 23, 235, 2357, 235711, 23571113, 2357111317, 235711131719, 23571113171923, 2357111317192329, 235711131719232931, 23571113171923293137, 2357111317192329313741, 235711131719232931374143, 23571113171923293137414347 (list; graph; listen)
OFFSET

1,1

REFERENCES

R. Crandall and C. Pomerance, Prime Numbers: A Computational Perspective, Springer, NY, 2001; see p. 72. [The 2002 printing states incorrectly that a(719) is prime. Cf. A046035.]

H. Ibstedt, A Few Smarandache Sequences, Smarandache Notions Journal, Vol. 8, No. 1-2-3, 1997, 170-183.

M. Le, On Smarandache Concatenated Sequences I: Prime Power Sequences, Smarandache Notions Journal, Vol. 9, No. 1-2, 1998, 129-130.

F. Smarandache, "Collected Papers", Vol. II, Tempus Publ. Hse., Buharest, Romania, 1996.

S. Smarandoiu, Convergence of Smarandache continued fractions, Abstract 96T-11-195, Abstracts Amer. Math. Soc., 17 (No. 4, 1996), 680.

LINKS

M. Fleuren, Smarandache Concatenated Primes.

M. L. Perez et al., eds., Smarandache Notions Journal

F. Smarandache, Collected Papers, Vol. II

Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.

Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.

EXAMPLE

E.g. a(6) = 2_3_5_7_11_13 = 23571113.

MATHEMATICA

ConsecutivePrimes[n_] := FromDigits[Flatten[IntegerDigits /@ Prime[Range[n]]]] (from Eric Weisstein)

PROGRAM

(PARI) \ concatenation of primes concatpr(n) = { y=2; print1(2", "); forprime(x=3, n, y=eval(concat(Str(y), Str(x))); print1(y", ") ) } (from Cino Hilliard)

CROSSREFS

For the primes in this sequence see A069151. For where the primes occur see A046035. See also A046284. A068670 gives number of digits.

Sequence in context: A098739 A091762 A054261 this_sequence A048677 A132933 A110708

Adjacent sequences: A019515 A019516 A019517 this_sequence A019519 A019520 A019521

KEYWORD

base,nonn

AUTHOR

R. Muller

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Last modified November 24 23:16 EST 2009. Contains 167481 sequences.


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