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A103835
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Smallest prime p, larger than previous term, such that concatenation of n and p is a prime.
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1
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3, 11, 13, 19, 23, 31, 43, 53, 67, 97, 113, 149, 151, 173, 193, 223, 239, 251, 373, 389, 397, 409, 431, 439, 457, 479, 487, 499, 569, 577, 601, 647, 739, 757, 797, 809, 811, 821, 827, 829, 863, 929, 991, 1109, 1181, 1297, 1301, 1303, 1327, 1367, 1409, 1429
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OFFSET
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1,1
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COMMENTS
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LINKS
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EXAMPLE
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a(10)=97 because 1097 is prime, while 1071,1073,1079,1083,1089 are all composite.
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PROG
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(Python)
from sympy import isprime, nextprime
def ispal(n): s = str(n); return s == s[::-1]
def aupto(lim):
n, p, alst = 1, 2, []
while p <= lim:
if isprime(int(str(n)+str(p))): n, alst = n + 1, alst + [p]
p = nextprime(p)
return alst
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CROSSREFS
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KEYWORD
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nonn,base
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AUTHOR
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STATUS
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approved
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