A277995 - OEIS

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A277995

Primes with prime subscripts whose digits are primes, whose digital root is prime, whose sum of digits is prime and whose reversal is also prime.

3, 5, 353, 32732237, 35225327, 75527537, 75535277, 75557723, 75737723, 75755257, 77322233, 77752733, 322375577, 322775737, 325725577, 325773727, 337735553, 352272233, 355322777, 357333377, 357735773, 372577727, 372753727, 375577733, 375722377, 375727237, 377725723, 377752723

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

COMMENTS

Intersection of A006450, A007500, A019546, A028834 and A078403.

LINKS

Table of n, a(n) for n=1..28.

EXAMPLE

32732237 is in the sequence because 32732237 is the 2016197-th prime number, 2016197 is prime, digits 2, 3 and 7 are primes, 32732237 -> 3 + 2 + 7 + 3 + 2 + 2 + 3 + 7 = 29 (is prime) -> 2 + 9 = 11 -> 1 + 1 = 2, 2 is prime and 73223723 is also prime.

MATHEMATICA

Select[Table[Prime[Prime[n]], {n, 1500000}], Complement[IntegerDigits[#1], {2, 3, 5, 7}] == {} && PrimeQ[#1 - 9 Floor[(#1 - 1)/9]] && PrimeQ[Total[IntegerDigits[#1]]] && PrimeQ[FromDigits[Reverse[IntegerDigits[#1]]]] & ]

CROSSREFS

Cf. A000040, A006450, A007500, A019546, A028834, A078403, A087368.

Sequence in context: A087670 A271390 A138584 * A354245 A247699 A369097

Adjacent sequences: A277992 A277993 A277994 * A277996 A277997 A277998

KEYWORD

nonn,base

AUTHOR

Ilya Gutkovskiy, Nov 08 2016

STATUS

approved