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Search: id:A077350
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| A077350 |
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Smallest number beginning with n and having exactly n divisors. |
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+0
1
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| 1, 2, 361, 46, 519885601, 63, 729, 88, 9025, 1053, 110462212541120451001, 126, 13841287201, 1458, 15376, 168, 1771091617586207101953855861006509233214261761, 180, 19267699140703639475173287301067237020969, 2000, 210681, 228352, 2384185791015625, 2430, 25091827216, 2625536, 27225, 28480
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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Next (29-th) term is 1039^28, and contains 85 digits. - Max Alekseyev (maxal(AT)cs.ucsd.edu), Feb 10 2005
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EXAMPLE
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a(6) = 63 = 3^2*7 has six divisors 1,3,7,9,21 and 63.
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PROGRAM
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(PARI) { len10(n) = ceil(log(n+1)/log(10)); } { A077350(n) = if(isprime(n), forprime(i=2, 10^5, m=i^(n-1); if(m\10^(len10(m)-len10(n))==n, return(m))), for(d=0, 20, for(i=0, 10^d-1, m=n*10^d+i; if(numdiv(m)==n, return(m)))) ); return(0); } (Alekseyev)
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CROSSREFS
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Sequence in context: A024350 A012669 A062381 this_sequence A013506 A013512 A142532
Adjacent sequences: A077347 A077348 A077349 this_sequence A077351 A077352 A077353
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KEYWORD
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base,nonn
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AUTHOR
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Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Nov 05 2002
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EXTENSIONS
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Corrected and extended by Max Alekseyev (maxal(AT)cs.ucsd.edu), Feb 10 2005
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