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A057216 To get next term, multiply by 17, add 1 and discard any prime factors < 17. 14
61, 173, 1471, 521, 4429, 4183, 2963, 257, 437, 743, 1579, 2237, 3803, 2309, 19627, 5561, 47269, 14881, 3833, 32581, 263, 43, 61, 173, 1471, 521, 4429, 4183, 2963, 257, 437, 743, 1579, 2237, 3803, 2309, 19627, 5561, 47269, 14881, 3833, 32581, 263, 43 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

This is the `17x+1' map. The `Px+1 map': if x is divisible by any prime < P then divide out these primes one at a time starting with the smallest; otherwise multiply x by P and add 1.

REFERENCES

Murad A. AlDamen, Smarandache Notion Journal, "Murad iterating function" [details?].

Murad A. AlDamen, Murad iterating function, Journal of University of Jerash, 2001, to appear.

LINKS

Table of n, a(n) for n=0..43.

Eric Weisstein's World of Mathematics, Collatz problem

EXAMPLE

61 -> 17*61+1 = 1038 = 2*3*173 -> 173, so second term is 173.

CROSSREFS

Cf. A057446, A057522, A057534 (long version), A057614.

Sequence in context: A142482 A007488 A142538 * A139993 A088955 A087870

Adjacent sequences:  A057213 A057214 A057215 * A057217 A057218 A057219

KEYWORD

nonn,easy

AUTHOR

Murad A. AlDamen (Divisibility(AT)yahoo.com), Oct 17 2000

EXTENSIONS

More terms from James A. Sellers and Larry Reeves (larryr(AT)acm.org), Oct 18 2000

STATUS

approved

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Last modified October 15 22:25 EDT 2019. Contains 328038 sequences. (Running on oeis4.)