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A126693
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Prime numbers p such that 10000-p is also a prime.
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2
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59, 71, 113, 149, 167, 197, 233, 251, 257, 281, 311, 449, 461, 467, 479, 503, 509, 521, 563, 569, 587, 659, 677, 719, 743, 761, 773, 797, 827, 839, 863, 941, 971, 1031, 1049, 1151, 1163, 1181, 1193, 1217, 1259, 1301, 1307, 1319, 1373, 1427, 1487, 1499, 1553
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OFFSET
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1,1
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COMMENTS
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Suggested by the Goldbach conjecture. The last term of this sequence is a(254)=9941.
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LINKS
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FORMULA
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p1+p2 = 10000 where p1 and p2 are prime numbers.
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EXAMPLE
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(59 + 9941) = (71 + 9929) = (113 + 9887) = (149 + 9851) = (167 + 9833) = (197 + 9803) = (233 + 9767) = (251 + 9749) = (257 + 9743) = (281 + 9719) = (311 + 9689) = ... = 10000.
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MAPLE
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a:=proc(n) if isprime(n) and isprime(10000-n) then n fi end: seq(a(n), n=1..10000); # Emeric Deutsch, Feb 16 2007
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MATHEMATICA
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Select[Prime[Range[PrimePi[10000]]], PrimeQ[10000-#]&] (* Harvey P. Dale, Mar 04 2013 *)
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CROSSREFS
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KEYWORD
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easy,fini,full,nonn
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AUTHOR
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STATUS
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approved
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