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A209396 Each entry is the first of three consecutive primes with equal digital sum. 6
22193, 25373, 69539, 107509, 111373, 167917, 200807, 202291, 208591, 217253, 221873, 236573, 238573, 250073, 250307, 274591, 290539, 355573, 373073, 382373, 404273, 407083, 415391, 417383, 439009, 441193, 447907, 515173, 542837, 581873, 582083, 591673 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Subsequence of A066540.

The differences between the three primes ​​of the triplet are multiples of 18.

LINKS

Harvey P. Dale, Table of n, a(n) for n = 1..1000

EXAMPLE

200807 is in the sequence because 200807, 200843, 200861 are consecutive primes and sum_of_digits(200807)= sum_of_digits(200843)= sum_of_digits(200861)=17

MATHEMATICA

Select[Prime[Range[100000]], Total[IntegerDigits[#]] == Total[IntegerDigits[NextPrime[#, 1]]] == Total[IntegerDigits[NextPrime[#, 2]]] &] (* T. D. Noe, Mar 13 2012 *)

Transpose[Select[Partition[Prime[Range[50000]], 3, 1], Differences[ Total/@ (IntegerDigits/@#)]=={0, 0}&]][[1]] (* Harvey P. Dale, Jul 22 2016 *)

CROSSREFS

Cf. A066540, A209663, A210629.

Sequence in context: A157622 A225392 A225998 * A210295 A060109 A217875

Adjacent sequences:  A209393 A209394 A209395 * A209397 A209398 A209399

KEYWORD

nonn,base

AUTHOR

Antonio Roldán, Mar 13 2012

STATUS

approved

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Last modified July 25 04:48 EDT 2017. Contains 289779 sequences.