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A118912 a(1) = 2; a(n) is greatest prime < a(n-1)^4. 0
2, 13, 28559, 665230244078823349, 195833931687186822327230545227550596864953022841534058316595001440791433 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

COMMENTS

Exponent 4 analogue of A059785 a(n+1)=prevprime(a(n)^2), with exponent 3 being A118910 a(1) = 2; a(n) is greatest prime < a(n-1)^3.

FORMULA

a(1) = 2; a(n) is greatest prime < a(n-1)^4.

EXAMPLE

a(1) = 2, by definition.

a(2) = 13 = 2^4 - 3.

a(3) = 28559 = 13^4 - 2.

a(4) = 665230244078823349 = 28559^4 - 12.

a(5) = 195833931687186822327230545227550596864953022841534058316595001440791433 = 665230244078823349^4 - 168.

a(6) is too large to include.

CROSSREFS

Cf. A001358, A055496, A076656, A006992, A005384, A005385, A118908-A118913.

Sequence in context: A139519 A111016 A176947 * A135970 A027738 A196815

Adjacent sequences:  A118909 A118910 A118911 * A118913 A118914 A118915

KEYWORD

easy,nonn

AUTHOR

Jonathan Vos Post (jvospost3(AT)gmail.com), May 05 2006

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Last modified February 16 15:27 EST 2012. Contains 205930 sequences.