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Search: id:A075307
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| A075307 |
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Smallest number m > 1 with m == k mod k-th prime for k = 1 to n. |
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+0
1
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| 3, 5, 23, 53, 1523, 29243, 299513, 4383593, 188677703, 5765999453, 5765999453, 2211931390883, 165468170356703, 8075975022064163, 361310530977154973, 20037783573808880093, 1779852341342071295513, 40235059344426324076913
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Is a(n) == -1 mod 6 for n > 1? - Benoit Cloitre (benoit7848c(AT)orange.fr), Sep 17 2002
The answer is yes, since each term after the first must be 1 mod 2 and also 2 mod 3. Every such number is -1 mod 6. - Brian L. Galebach (sequence(AT)ProbabilitySports.com), Jun 02 2004
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EXAMPLE
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a(1) = 3 == 1 (mod 2), a(4) = 53 == 1 (mod 2) ==2 (mod 3) ==3 (mod 5) == 4 (mod 7)
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PROGRAM
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(PARI) a(n)=if(n<0, 0, s=1; while(sum(k=1, n, (s-k)%prime(k))>0, s++); s)
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CROSSREFS
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Identical to A053664 except for first term.
Sequence in context: A065720 A148554 A120937 this_sequence A100302 A023247 A027753
Adjacent sequences: A075304 A075305 A075306 this_sequence A075308 A075309 A075310
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KEYWORD
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nonn
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AUTHOR
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Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Sep 13 2002
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EXTENSIONS
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More terms from Benoit Cloitre (benoit7848c(AT)orange.fr), Sep 17 2002
More terms from Brian L. Galebach (sequence(AT)ProbabilitySports.com), Jun 02 2004
More terms from Brian L. Galebach (sequence(AT)ProbabilitySports.com), Jun 14 2004
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