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A089056 Primes whose sum of digits [s(d)] is a prime and where sum of two such consecutive s(d) values is a square. +0
1
7, 11, 23, 29, 41, 131, 137, 197, 199, 467, 487, 557, 577, 593, 757, 773, 827, 829, 863, 881, 883, 937, 953, 1013, 1019, 1031, 1103, 1109, 1277, 1279, 1567, 1583, 1637, 1657, 1871, 1873, 2003, 2027, 2087, 2089, 2267, 2269, 2377, 2393, 2447, 2467, 2591, 2593 (list; graph; listen)
OFFSET

1,1

COMMENT

This sequence is a subset of A046704.

FORMULA

From the sequence of primes whose s(d) values are prime, select those where sum of two consecutive s(d) values is a square.

EXAMPLE

a(2)=23; a(3)=29: 2+3=5; 2+9=11; 5+11=16, a square.

CROSSREFS

Cf. A046704.

Sequence in context: A033207 A095084 A067790 this_sequence A082496 A107133 A079138

Adjacent sequences: A089053 A089054 A089055 this_sequence A089057 A089058 A089059

KEYWORD

easy,nonn

AUTHOR

Enoch Haga (Enokh(AT)comcast.net), Dec 20 2003

EXTENSIONS

Edited, corrected and extended by Ray Chandler (rayjchandler(AT)sbcglobal.net), Feb 14 2004

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Last modified December 15 00:47 EST 2009. Contains 170825 sequences.


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