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A003068 Problimes (third definition).
(Formerly M1038)
+0
4
2, 4, 7, 11, 15, 19, 23, 28, 33, 38, 43, 48, 53, 58, 63, 68, 73, 79, 85, 91, 97, 103, 109, 115, 121, 127, 133, 139, 145, 151, 157, 163, 169, 175, 181, 187, 193, 199, 205, 211, 217, 224, 231, 238, 245, 252, 259, 266, 273, 280, 287, 294, 301, 308, 315, 322, 329 (list; graph; listen)
OFFSET

1,1

REFERENCES

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

M. D. Hirschhorn, How unexpected is the prime number theorem?, Amer. Math. Monthly, 80 (1973), 675-677.

R. C. Vaughan, The problime number theorem, Bull. London Math. Soc., 6 (1974), 337-340.

LINKS

T. D. Noe, Table of n, a(n) for n=1..1000

MAPLE

a[1] := 2: for i from 1 to 150 do a[i+1] := ceil(a[i]+1/product((1-1/a[j]), j=1..i)): od:

CROSSREFS

Cf. A003066, A003067.

Sequence in context: A018385 A087163 A062467 this_sequence A078617 A025703 A025709

Adjacent sequences: A003065 A003066 A003067 this_sequence A003069 A003070 A003071

KEYWORD

nonn,nice

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

EXTENSIONS

More terms and Maple code from James A. Sellers (sellersj(AT)math.psu.edu), Mar 07 2000

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


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