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A275118
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Split primes p such that prime P lying above p is a Wieferich place of K (with discriminant D_K), for some imaginary quadratic field K of class number 1.
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0
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5, 11, 13, 181, 1523, 1741, 2521, 19531, 24421, 29789, 76543, 108529, 489061, 880301, 1769069, 6811741
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OFFSET
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1,1
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LINKS
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PROG
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(Sage)
if not Integer(k).is_prime(): return False
for D in [1, 2, 3, 7, 11, 19, 43, 67, 163]:
fct = QuadraticField(-D).ideal(k).factor()
if len(fct)==2:
pi = fct[1][0].gens_reduced()[0]
if (pi^(k-1) - 1).valuation(fct[0][0]) > 1: return True
return False
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CROSSREFS
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KEYWORD
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nonn,more
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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