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Revision History for A083712 (Bold, blue-underlined text is an addition; faded, red-underlined text is a deletion.)

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#2 by N. J. A. Sloane at Sat Nov 10 03:00:00 EST 2007
NAME

Palindromes which are prime and the sum of the digits is also prime.

Duplicate of A082806.

DATA

2, 3, 5, 7, 11, 101, 131, 151, 191, 313, 353, 373, 757, 797, 919, 10301, 10501, 11311, 12721, 13331, 13931, 14341, 14741, 15551, 16361, 16561, 18181, 19391, 19991, 30103, 30703, 31513, 32323, 33533, 34543, 35153, 35353, 35753, 36563, 38183

REFERENCES

Suggested by Amarnath Murthy

EXAMPLE

E.g. 12721 is a palindromic prime and 1+2+7+2+1 = 13 is also prime.

MATHEMATICA

Select[ Range[390000], PrimeQ[ # ] && FromDigits[ Reverse[ IntegerDigits[ # ]]] == # && PrimeQ[ Plus @@ IntegerDigits[ # ]] & ]

KEYWORD

nonn,base,new

dead

AUTHOR

Meenakshi Srikanth (menakan_s(AT)yahoo.com), Jun 14 2003

EXTENSIONS

Edited, corrected and extended by Robert G. Wilson v (rgwv(AT)rgwv.com), Jun 17 2003

#1 by N. J. A. Sloane at Sat Sep 13 03:00:00 EDT 2003
NAME

Palindromes which are prime and the sum of the digits is also prime.

DATA

2, 3, 5, 7, 11, 101, 131, 151, 191, 313, 353, 373, 757, 797, 919, 10301, 10501, 11311, 12721, 13331, 13931, 14341, 14741, 15551, 16361, 16561, 18181, 19391, 19991, 30103, 30703, 31513, 32323, 33533, 34543, 35153, 35353, 35753, 36563, 38183

OFFSET

1,1

REFERENCES

Suggested by Amarnath Murthy

EXAMPLE

E.g. 12721 is a palindromic prime and 1+2+7+2+1 = 13 is also prime.

MATHEMATICA

Select[ Range[390000], PrimeQ[ # ] && FromDigits[ Reverse[ IntegerDigits[ # ]]] == # && PrimeQ[ Plus @@ IntegerDigits[ # ]] & ]

KEYWORD

nonn,base

AUTHOR

Meenakshi Srikanth (menakan_s(AT)yahoo.com), Jun 14 2003

EXTENSIONS

Edited, corrected and extended by Robert G. Wilson v (rgwv(AT)rgwv.com), Jun 17 2003

STATUS

approved