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A248199
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Initial primes of sets of 8 consecutive primes all different by modulo 30.
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1
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2, 3, 5, 7, 11, 13, 17, 19, 47, 499, 673, 677, 769, 1277, 1279, 1327, 1697, 2357, 3163, 3907, 4057, 4133, 4909, 5479, 5669, 6047, 7283, 9349, 9533, 9539, 9547, 9923, 10667, 11149, 11159, 12277, 12841, 17167, 17431, 17443, 21101, 21379, 22549, 22567, 22993, 24181, 24337, 24659, 24671, 25219, 26161
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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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47 is a term because 8 consecutive primes {47, 53, 59, 61, 67, 71, 73, 79} are congruent to {17, 23, 29, 1, 7, 11, 13, 19} mod 30; all distinct by modulo 30.
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PROG
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(PARI) isok(n) = {v = []; for (i=0, 7, pm = prime(i+n) % 30; if (! vecsearch(v, pm), v = vecsort(concat(v, pm)), return (0)); ); return (1); }
lista(nn) = {forprime(p=2, nn, if (isok(primepi(p)), print1(p, ", ")); ); } \\ Michel Marcus, Oct 06 2014
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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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