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A078963
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Primes p such that the differences between the 5 consecutive primes starting with p are (6,4,6,2).
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2
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3313, 4993, 5851, 9613, 17971, 23011, 32353, 36913, 45121, 51421, 53881, 54403, 59611, 76243, 90001, 91951, 127591, 130633, 131431, 134353, 140401, 142963, 174061, 229753, 246913, 267661, 303361, 311551, 321313, 340111, 386143, 435553
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OFFSET
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1,1
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COMMENTS
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Equivalently, p, p+6, p+10, p+16 and p+18 are consecutive primes.
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LINKS
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EXAMPLE
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23011 is in the sequence since 23011, 23017, 23021, 23027 and 23029 are consecutive primes.
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MAPLE
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L:= [2, 3, 5, 7, 11]:
count:= 0: Res:= NULL:
while count < 50 do
L:= [op(L[2..5]), nextprime(L[5])];
if L - [L[1]$5] = [0, 6, 10, 16, 18] then
count:= count+1;
Res:= Res, L[1];
fi
od:
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MATHEMATICA
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Transpose[Select[Partition[Prime[Range[50000]], 5, 1], Differences[#]=={6, 4, 6, 2}&]][[1]] (* Harvey P. Dale, Mar 04 2011 *)
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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