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<DIV>These are sequences of the first prime which starts a sequence of n consecutive primes that are congruent to a particular value mod 12.</DIV>
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<DIV>The problem is that the programs (both Mathematica and PARI) assume that a(n+1) > a(n); whereas in fact it is possible that a(n+1) = a(n). I haven't done a thorough check, but for A068232, we should have a(8) = a(7) = 7790917.</DIV>
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<DIV>Franklin T. Adams-Watters<BR></DIV></DIV></DIV>
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