Greatest Prime Factor
For an Integer 
, let 
denote the greatest prime factor of 
, i.e., the number 
inthe factorization
with
for 
. For 
, 3, ..., the first few are 2, 3, 2, 5, 3, 7, 2, 3, 5, 11, 3, 13, 7, 5, ...(Sloane's A006530). The greatest multiple prime factors for Squareful integers are 2, 2, 3, 2, 2, 3, 2, 2, 5, 3, 2,2, 3, ... (Sloane's A046028).See also Distinct Prime Factors, Factor, Least Common Multiple, Least Prime Factor, MangoldtFunction, Prime Factors, Twin Peaks
References
Erdös, P. and Pomerance, C. ``On the Largest Prime Factors of Guy, R. K. ``The Largest Prime Factor of Heath-Brown, D. R. ``The Largest Prime Factor of the Integers in an Interval.'' Sci. China Ser. A 39, 449-476, 1996. Mahler, K. ``On the Greatest Prime Factor of Sloane, N. J. A. SequenceA006530/M0428in ``An On-Line Version of the Encyclopedia of Integer Sequences.''http://www.research.att.com/~njas/sequences/eisonline.html and Sloane, N. J. A. and Plouffe, S.The Encyclopedia of Integer Sequences. San Diego: Academic Press, 1995. and 
.'' Aequationes Math. 17, 211-321, 1978..'' §B46 in Unsolved Problems in Number Theory, 2nd ed. New York: Springer-Verlag, pp. 101, 1994.
.'' Nieuw Arch. Wiskunde 1, 113-122, 1953.
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