

A067191


Numbers that can be expressed as the sum of two primes in exactly five ways.


6



48, 54, 64, 70, 74, 76, 82, 86, 94, 104, 124, 136, 148, 158, 164, 188
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OFFSET

1,1


LINKS

Table of n, a(n) for n=1..16.
Index entries for sequences related to Goldbach conjecture


EXAMPLE

70 is a term as 70 = 67 + 3 = 59 + 11 = 53 + 17 = 47 + 23 41 + 29 are all the five ways to express 70 as a sum of two primes.


CROSSREFS

Cf. A002375, A023036, A067187A067190, A066722.
Sequence in context: A296872 A258694 A328738 * A080854 A255267 A259037
Adjacent sequences: A067188 A067189 A067190 * A067192 A067193 A067194


KEYWORD

nonn,fini,full


AUTHOR

Amarnath Murthy, Jan 10 2002


EXTENSIONS

Corrected and extended by Peter Bertok (peter(AT)bertok.com), who finds (Jan 13 2002) that there are no other terms below 10000 and conjectures there are no further terms in this sequence and A067188, A067189, etc.
David Wasserman, Jan 15 2002, finds no further terms through 50000.
R. K. Guy (Jan 14 2002) remarks: "I believe that these conjectures follow from a more general one by Hardy and Littlewood (probably in Some problems of 'partitio numerorum' III, on the expression of a number as a sum of primes, Acta Math. 44(1922) 170)."


STATUS

approved



