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A076623 Total number of left truncatable primes (without zeros) in base n. +0
11
0, 3, 16, 15, 454, 22, 446, 108, 4260, 75, 170053, 100, 34393, 9357, 27982, 362, 14979714, 685, 3062899, 59131, 1599447, 1372, 1052029701, 10484, 7028048, 98336, 69058060, 3926 (list; graph; listen)
OFFSET

2,2

COMMENT

Approximation of a(b) by (PARI) code: l(b)=c=b*(b-1)/log(b)/eulerphi(b);\ return(floor((primepi(b)-omega(b))*exp(c)/c));

a(24)=1052029701 based on strong BPSW pseudoprimes. Other terms up to a(29) use proved primes. [From Martin Fuller (martin_n_fuller(AT)btinternet.com), Nov 24 2008]

REFERENCES

Angell, I. O. and Godwin, H. J. "On Truncatable Primes." Math. Comput. 31, 265-267, 1977.

LINKS

Martin Renner, Table of n, a(n) for n = 2..53, with many question marks

Index entries for sequences related to truncatable primes

PROGRAM

(PARI code from Robert Gerbicz (robert.gerbicz(AT)gmail.com), Oct 31 2008)

f(b)=ct=0; A=[0]; n=-1; L=1; while(L, n++; B=vector(L*b); M=0; \

for(i=1, L, for(j=1, b-1, x=A[i]+j*b^n; if(isprime[x], M++; B[M]=x; ct++))); \

L=M; A=vector(L, i, B[i])); return(ct)

CROSSREFS

Cf. A024779, A024780, A024781, A024782, A024783, A024784, A024785, A076586.

Cf. A103443, A103463.

Sequence in context: A098373 A054793 A063709 this_sequence A068516 A032922 A103655

Adjacent sequences: A076620 A076621 A076622 this_sequence A076624 A076625 A076626

KEYWORD

nonn

AUTHOR

Martin Renner (martin.renner(AT)gmx.net), Oct 22 2002, Nov 03 2002, Sep 24 2007, Feb 20 2008, Apr 20 2008

EXTENSIONS

a(12) corrected from 170051 to 170053 by Martin Fuller (martin_n_fuller(AT)btinternet.com), Oct 31 2008

Correction of a(18) and approximation for a(n). - Robert Gerbicz (robert.gerbicz(AT)gmail.com), Nov 02 2008

a(24) - a(29) from Martin Fuller (martin_n_fuller(AT)btinternet.com), Nov 24 2008

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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