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Search: id:A105525
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| A105525 |
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Smallest prime forming a product of n distinct primes when a 1 is appended to it. |
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+0
2
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| 3, 2, 23, 821, 14387, 131231, 4976687, 87200213, 6746125577, 121926946241, 5509396663871, 254605525405331, 12690278491719929, 565269607109838731, 32485826999091637271, 2154833052882128071553, 156066104202356713394129
(list; graph; listen)
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OFFSET
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1,1
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EXAMPLE
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We have a(2)=2 because 2 is the first prime ahead of 5,11,29,37,... each becoming a product of two distinct primes with an appended 1.
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PROGRAM
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(PARI) {r(n, p, d)=local(q); if(d==0, if(n%10==1 && isprime(n\10) && n<m, m=n); return); q=nextprime(p+1); while(n*q^d<m, r(n*q, q, d-1); q=nextprime(q+1))} {A105526(d) = M=2^16; while(1, m=M; r(1, 2, d); if(m!=M, return(m\10)); M*=2)} (Alekseyev)
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CROSSREFS
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Cf. A105526.
Adjacent sequences: A105522 A105523 A105524 this_sequence A105526 A105527 A105528
Sequence in context: A009022 A009033 A018872 this_sequence A090883 A100645 A132960
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KEYWORD
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nonn,base
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AUTHOR
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Lekraj Beedassy (blekraj(AT)yahoo.com), Apr 11 2005
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EXTENSIONS
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a(5)-a(8) from Ray Chandler (rayjchandler(AT)sbcglobal.net), Apr 16 2005
More terms from Max Alekseyev (maxal(AT)cs.ucsd.edu), Apr 28 2005
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