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A088883 Primes which when concatenated with their reverse and incremented by 2 yield a new prime. 2
7, 19, 97, 109, 151, 163, 181, 193, 547, 709, 727, 733, 991, 1039, 1093, 1279, 1447, 1453, 1567, 1621, 1657, 1669, 1699, 1723, 1867, 5077, 5179, 5209, 5281, 5323, 5419, 5503, 5563, 5581, 5653, 5821, 5857, 5881, 7057, 7207, 7219, 7333, 7351, 7507, 7537 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
It appears that if concat(p,reverse(p))+2 is prime, then concat(p,reverse(p))-2 is not and vice versa. This was tested for the first 60000 primes.
LINKS
EXAMPLE
a(4) =109 because (i) 109 is prime and (ii) when 109 is concatenated with its reverse (901) + 2, the result (109903) is prime.
MATHEMATICA
crpQ[n_]:=Module[{idn=IntegerDigits[n]}, PrimeQ[FromDigits[ Join[ idn, Reverse[ idn]]]+2]]; Select[Prime[Range[1000]], crpQ] (* Harvey P. Dale, Apr 28 2014 *)
CROSSREFS
Cf. A067087 (concatenation of n-th prime and its reverse.), A088884 (primes which when concatenated with their reverse and decremented by 2 yield a new prime.).
Sequence in context: A363668 A245489 A084603 * A262186 A346513 A026574
KEYWORD
base,nonn
AUTHOR
Chuck Seggelin (barkeep(AT)plastereddragon.com), Oct 21 2003
STATUS
approved

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Last modified March 29 08:13 EDT 2024. Contains 371265 sequences. (Running on oeis4.)