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A088084
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a(1) = 2; then least palindrome greater than the previous term such that every partial concatenation is a prime.
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2
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2, 3, 9, 11, 313, 353, 363, 373, 3993, 10401, 11911, 16061, 16861, 17571, 30903, 33633, 34043, 39693, 74347, 147741, 370073, 768867, 795597, 960069, 962269, 1036301, 1165611, 1405041, 1485841, 1498941, 1601061, 1644461, 1934391
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OFFSET
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1,1
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LINKS
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EXAMPLE
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2, 23, 239, 23911, etc., are primes.
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MATHEMATICA
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NextPalindrome[n_] := Block[{l = Floor[ Log[10, n] + 1], idn = IntegerDigits[n]}, If[ Union[idn] == {9}, Return[n + 2], If[l < 2, Return[n + 1], If[ FromDigits[ Reverse[ Take[ idn, Ceiling[l/2]]]] FromDigits[ Take[ idn, -Ceiling[l/2]]], FromDigits[ Join[ Take[ idn, Ceiling[l/2]], Reverse[ Take[ idn, Floor[l/2]]]]], idfhn = FromDigits[ Take[ idn, Ceiling[l/2]]] + 1; idp = FromDigits[ Join[ IntegerDigits[ idfhn], Drop[ Reverse[ IntegerDigits[ idfhn]], Mod[l, 2]]]]]]]]; a = 2; k = 2; f[n_, m_] := Block[{k = NextPalindrome[m]}, While[b = FromDigits[ Join[ IntegerDigits[n], IntegerDigits[k]]]; !PrimeQ[b], k = NextPalindrome[k]]; Return[b]]; f[2, 2]; f[%, 3]; etc.
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CROSSREFS
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KEYWORD
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base,nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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