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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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5
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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; refs; listen; history; internal format)
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OFFSET
| 0,3
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COMMENTS
| 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
| Matthew M. Conroy, Home page (listed instead of email address)
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EXAMPLE
| 0+1+2=3, which is prime; 1+2+4=7=prime; 2+4+5=11=prime, etc.
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MATHEMATICA
| 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
| Cf. A073627.
Sequence in context: A169743 A191986 A018699 * A067938 A018457 A046809
Adjacent sequences: A073625 A073626 A073627 * A073629 A073630 A073631
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KEYWORD
| nonn
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AUTHOR
| Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Aug 08 2002
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EXTENSIONS
| 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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