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 A106310 Primes p such that p^2 divides some T(k), yet p does not divide any T(j) for any j
 47, 617, 2693 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS No other p < 10^6. For Fibonacci numbers, A000045, there are no known primes with this property. LINKS EXAMPLE 47 is here because the 29th tribonacci number, 15902591, is the first tribonacci number divisible by 47 and 47^2 also divides it. Similarly, 617^2 divides T(409) and 2693^2 divides T(10553). MATHEMATICA FibonacciZero[n_, kMax_, m_] := Module[{a, s, k}, a=Join[{1}, Table[0, {n-1}]]; a=Mod[a, m]; k=0; While[k++; s=Mod[Plus@@a, m]; a=RotateLeft[a]; a[[n]]=s; s>0&&k

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