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3, 11, 19, 79, 683, 733, 971, 1433, 1453, 2531, 3181, 3931, 4027, 4111, 4153, 4943, 6397, 6491, 6653, 6673, 6883, 8521, 8641, 8969, 10463, 10477, 10667, 11383, 11411, 11587, 12527, 13229, 15749, 16631, 17971, 21757, 21929, 24767, 27031, 28859
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OFFSET
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1,1
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COMMENTS
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Primes which are equal to (some prime plus its subscript) and also to (some other prime minus its subscript). Primes of the form p(m)+m and p(n)-n, p(k) = k-th prime.
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LINKS
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FORMULA
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p=p(m)+m=p(n)-n for some m and some n>m.
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EXAMPLE
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3=p(1)+1=2+1 and 3=p(4)-4=7-4 (that is m=1, n=4),
11=p(4)+4=7+4 and 11=p(8)-8=19-8 (m=4, n=8),
19=p(6)+6=13+6 and 19=p(10)-10=29-10 (m=6, n=10),
79=p(18)+18=61+18 and 79=p(28)-28=107-28 (m=18, n=28),
683=p(106)+106=577+106 and 683=p(144)-144=827-144 (m=106, n=144).
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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