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Search: id:A136296
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| A136296 |
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"Special augmented primes": primes p such that the decimal number 1p1 is divisible by p. |
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+0
2
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| 11, 13, 137, 9091, 909091, 5882353, 909090909090909091, 909090909090909090909090909091, 9090909090909090909090909090909090909090909090909091
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Equals A116436 INTERSECT A000040. - R. J. Mathar, Apr 24 2008
The larger terms may be only probable primes. - Franklin T. Adams-Watters (FrankTAW(AT)Netscape.net), Apr 23 2008
According to the Magma Calculator (http://magma.maths.usyd.edu.au/calc/), all nine terms given for this sequence are prime. [From Jon E. Schoenfield (jonscho(AT)hiwaay.net), Aug 24 2009]
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REFERENCES
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Clifford A. Pickover, A Passion for Mathematics, Wiley, 2005; see p. 61.
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EXAMPLE
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11371/137 = 83, an integer, so the prime 137 is a term.
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PROGRAM
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(PARI) A136296k(k) = { local(l, d, lb, ub); d=factor(10^(k+1)+1)[, 1]; l=[]; lb=10^(k-1); ub=10*lb; for(i=1, #d, if(d[i]>=lb&&d[i]<ub, l=concat(l, [d[i]]))); l} l=[]; for(i=1, 60, l=concat(l, A136296k(i))); l - Franklin T. Adams-Watters (FrankTAW(AT)Netscape.net), Apr 23 2008
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CROSSREFS
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Prime members of A116436.
Sequence in context: A089824 A086549 A108090 this_sequence A094621 A144375 A140969
Adjacent sequences: A136293 A136294 A136295 this_sequence A136297 A136298 A136299
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KEYWORD
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nonn,base
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com), Apr 20 2008
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EXTENSIONS
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a(4) - a(6) from M. F. Hasler, Apr 22 2008
More terms from Franklin T. Adams-Watters (FrankTAW(AT)Netscape.net), Apr 23 2008
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