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A078612 Number of transitions necessary for a Turing machine to compute the differences between consecutive primes (primes written in unary), when using the instruction table below. +0
1
22, 38, 80, 140, 302, 410, 668, 824, 1182 (list; graph; listen)
OFFSET

1,1

COMMENT

The Turing machine computing this sequence uses the 5-tuple instruction table: [State, Character, New State, New Character, Direction] {1,_ 1,_,>} {1,1 1,1,>} {1,- 1,-,>} {1,= 2,_,<} {2,1 3,=,<} {2,- H,_,<} {3,1 3,1,<} {3,- 4,-,<} {4,_ 4,_,<} {4,1 1,_,>} (Suzanne Britton), with the read-write head beginning at canonical position.

The Turing machine computing this sequence uses the 5-tuple instruction table:

[State, Character, New State, New Character, Direction]

{1,_ 1,_,>}

{1,1 1,1,>}

{1,- 1,-,>}

{1,= 2,_,<}

{2,1 3,=,<}

{2,- H,_,<}

{3,1 3,1,<}

{3,- 4,-,<}

{4,_ 4,_,<}

{4,1 1,_,>}

(Suzanne Britton), with the read-write head beginning at canonical position.

LINKS

Abelard, On Computable Numbers, with an Application to the Entscheidungsproblem, By A. M. Turing

S. Britton, Turing Machine Simulator

CROSSREFS

Cf. A001223.

Adjacent sequences: A078609 A078610 A078611 this_sequence A078613 A078614 A078615

Sequence in context: A063252 A078540 A057836 this_sequence A039373 A043196 A043976

KEYWORD

more,nonn

AUTHOR

Jason Earls (zevi_35711(AT)yahoo.com), Dec 10 2002

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Last modified October 15 09:18 EDT 2008. Contains 145015 sequences.


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