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A356498
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Primes p such that 100*p + 11 is also prime.
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0
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2, 3, 23, 41, 83, 101, 107, 113, 137, 179, 233, 239, 251, 281, 293, 353, 359, 401, 419, 479, 503, 557, 563, 569, 587, 683, 701, 743, 809, 839, 857, 863, 941, 953, 977, 1049, 1091, 1103, 1193, 1217, 1277, 1283, 1361, 1367, 1427, 1487, 1499, 1523, 1607, 1619, 1847, 1871, 1877, 1889, 1907, 1949, 1973
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OFFSET
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1,1
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COMMENTS
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100*p + 11 has the effect of appending 11 to p.
Primes of the form 3*k + 1 are never in this sequence, as 100*(3*k + 1) + 11 can be simplified to 3*(100*k + 37).
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LINKS
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EXAMPLE
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2 is a term, as 100*2 + 11 is 211, which are both prime.
101 is a term, as 100*101 + 11 is 10111 which are both prime.
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PROG
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(Python)
from sympy import isprime
print([k for k in range(2000) if isprime(100*k+11) and isprime(k)])
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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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