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A069485 Largest prime factor of prime(n+1)^2 + prime(n)^2. +0
3
13, 17, 37, 17, 29, 229, 13, 89, 137, 53, 233, 61, 353, 2029, 193, 37, 277, 821, 953, 61, 89, 101, 1481, 1733, 53, 2081, 269, 2333, 29, 14449, 3329, 3593, 293, 1597, 22501, 73, 25609, 373, 28909, 6197, 32401, 389, 101, 2237, 7841, 42061, 29, 257, 281, 821 (list; graph; listen)
OFFSET

1,1

COMMENT

a(n) = A006530(A069484(n)).

EXAMPLE

A069482(10) = A000040(11)^2 + A000040(10)^2 = 29^2 + 31^2

= 841 + 961 = 1802 = 2*17*53, therefore a(10) = 53.

MATHEMATICA

Table[ FactorInteger[ Prime[n + 1]^2 + Prime[n]^2] [[ -1, 1]], {n, 1, 50} ]

CROSSREFS

Cf. A069483.

Sequence in context: A062338 A126808 A053009 this_sequence A109308 A086402 A039290

Adjacent sequences: A069482 A069483 A069484 this_sequence A069486 A069487 A069488

KEYWORD

nonn

AUTHOR

Reinhard Zumkeller (reinhard.zumkeller(AT)lhsystems.com), Mar 29 2002

EXTENSIONS

Edited and extended by Robert G. Wilson v (rgwv(AT)rgwv.com), Apr 18 2002

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Last modified July 25 07:41 EDT 2008. Contains 142293 sequences.


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