Search: id:A057216
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%I A057216
%S A057216 61,173,1471,521,4429,4183,2963,257,437,743,1579,2237,3803,2309,19627,
%T A057216 5561,47269,14881,3833,32581,263,43,61,173,1471,521,4429,4183,2963,257,
%U A057216 437,743,1579,2237,3803,2309,19627,5561,47269,14881,3833,32581,263,43
%N A057216 To get next term, multiply by 17, add 1 and discard any prime factors 
               < 17.
%C A057216 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.
%D A057216 Murad A. AlDamen, Smarandache Notion Journal, "Murad iterating function" 
               [details?].
%D A057216 Murad A. AlDamen, Murad iterating function, Journal of University of 
               Jerash, 2001, to appear.
%H A057216 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               CollatzProblem.html">Collatz problem</a>
%e A057216 61 -> 17*61+1 = 1038 = 2*3*173 -> 173, so second term is 173.
%Y A057216 Cf. A057446, A057522, A057534 (long version), A057614.
%Y A057216 Sequence in context: A142482 A007488 A142538 this_sequence A139993 A088955 
               A087870
%Y A057216 Adjacent sequences: A057213 A057214 A057215 this_sequence A057217 A057218 
               A057219
%K A057216 nonn,easy
%O A057216 0,1
%A A057216 Murad A. AlDamen (Divisibility(AT)yahoo.com), Oct 17 2000
%E A057216 More terms from James A. Sellers (sellersj(AT)math.psu.edu) and Larry 
               Reeves (larryr(AT)acm.org), Oct 18 2000

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