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A352229
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Numbers that can be expressed as the sum of two primes in exactly 7 ways.
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11
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78, 96, 112, 130, 140, 176, 178, 194, 206, 208, 218, 224, 226, 232, 272, 278, 326, 398
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OFFSET
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1,1
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LINKS
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EXAMPLE
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78 = 5+73 = 7+71 = 11+67 = 17+61 = 19+59 = 31+47 = 37+41.
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MATHEMATICA
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c[n_] := Count[IntegerPartitions[n, {2}], _?(And @@ PrimeQ[#] &)]; Select[Range[1000], c[#] == 7 &] (* Amiram Eldar, Mar 08 2022 *)
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CROSSREFS
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Numbers that can be expressed as the sum of two primes in k ways for k=0..10: A014092 (k=0), A067187 (k=1), A067188 (k=2), A067189 (k=3), A067190 (k=4), A067191 (k=5), A066722 (k=6), this sequence (k=7), A352230 (k=8), A352231 (k=9), A352233 (k=10).
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KEYWORD
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nonn,more
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AUTHOR
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STATUS
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approved
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