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A194829
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Records of primes q in the representation of odd n>5 by n=2*p+q, p, q prime, q minimal. A194828 gives the values of n at which an increase of q is required.
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5
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3, 5, 7, 13, 17, 37, 61, 73, 109, 181, 277, 317, 349, 397, 419, 503, 577, 601, 709, 829, 877, 1129, 1237, 1367, 1429, 1669, 1993, 2467, 2833, 2879, 3001, 3037, 3329, 3821, 4861, 5003, 5281, 5821, 5897, 6301, 6329, 6421, 7129, 7309, 7873, 8017, 8597, 8821, 8969, 9157
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OFFSET
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1,1
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COMMENTS
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See A002091. Checked up to n=2*10^13.
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REFERENCES
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LINKS
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EXAMPLE
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a(5)=17, because it is the smallest possible value of q in the representation of 55=2*p+q. 55-3=52, 55-5=50, 55-7=48, 55-11=44, 55-13=42, none of which has the form 2*p. 55-17=38=2*19. All odd numbers < 55 can be represented using a q<17.
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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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