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Search: id:A073628
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| A073628 |
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a(0) = 0; a(1) = 1; a(2) = 2; a(n) = smallest number greater than the previous term such that the sum of three successive terms is a prime. |
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+0
6
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| 0, 1, 2, 4, 5, 8, 10, 11, 16, 20, 23, 24, 26, 29, 34, 38, 41, 48, 50, 51, 56, 60, 63, 68, 80, 81, 90, 92, 95, 96, 102, 109, 120, 124, 129, 130, 138, 141, 142, 148, 149, 152, 156, 159, 164, 168, 171, 182, 188, 193, 196, 198, 199, 202, 206, 209, 216, 218, 219, 222, 232
(list; graph; listen)
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OFFSET
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0,3
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COMMENT
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Slowest increasing sequence where 3 consecutive integers sum up to a prime.
In a string there can be at most two consecutive integers like 10,11 etc. More generally three consecutive terms can not be in A.P.
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LINKS
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Matthew M. Conroy, Home page (listed instead of email address)
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EXAMPLE
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0+1+2=3, which is prime; 1+2+4=7=prime; 2+4+5=11=prime, etc.
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MATHEMATICA
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n1 = 0; n2 = 1; counter = 1; maxnumber = 10^4; Do[ If[PrimeQ[n1 + n2 + n], {sol[counter] = n; counter = counter + 1; n1 = n2; n2 = n}], {n, 2, maxnumber}]; Table[sol[j], {j, 1, counter}]\) - Ben Ross (bmr180(AT)psu.edu), Jan 29 2006
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CROSSREFS
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Cf. A073627.
Sequence in context: A004612 A066208 A018699 this_sequence A067938 A018457 A046809
Adjacent sequences: A073625 A073626 A073627 this_sequence A073629 A073630 A073631
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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), Aug 08 2002
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EXTENSIONS
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More terms from Matthew M. Conroy, Sep 09 2002
Entry revised by N. J. A. Sloane (njas(AT)research.att.com), Mar 25 2007
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