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 A168385 Numbers of the form |a^b - c^d| where a, b, c and d are the first 4 primes. 3
 3, 76, 115, 194, 311, 318, 2155, 2162, 16798, 16799, 78116, 78117 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS There are 4! = 24 permutations of 4 elements, because of commutativity of |x|=|- x| sequence has 4!/2 = 12 different terms. Note that two terms of sequence (3 and 311) are prime numbers. REFERENCES Ivan Niven und H. S. Zuckermann, Einfuehrung in die Zahlentheorie, B.I. Mannheim 1976 Friedhelm Padberg, Elementare Zahlentheorie, Spektrum Akademischer Verlag, 2. Auflage 1991 LINKS EXAMPLE (1) 3 = 2^7 - 5^3 = prime(2) (2) 76 = 2 ^ 2 x 19 = 5^3 - 7^2 (3) 115 = 5 x 23 = 3^5 - 2^7 (4) 194 = 2 x 97 = 3^5 - 7^2 (5) 311 = 7^3 - 2^5 = prime(2^6) (6) 318 = 2 x 3 x 53 = 7^3 - 5^2 (7) 2155 = 5 x 431 = 3^7 - 2^5 (8) 2162 = 2 x 23 x 47 = 3^7 - 5^2 (9) 16798 = 2 x 37 x 227 = 7^5 - 3^2 (10) 16799 = 107 x 157 = 7^5 - 2^3 (11) 78116 = 2 ^ 2 x 59 x 331 = 5^7 - 3^2 (12) 78117 = 3 x 13 x 2003 = 5^7 - 2^3 CROSSREFS Cf. A168349. Sequence in context: A308866 A089301 A037110 * A042267 A201428 A141103 Adjacent sequences:  A168382 A168383 A168384 * A168386 A168387 A168388 KEYWORD fini,full,nonn AUTHOR Eva-Maria Zschorn (e-m.zschorn(AT)zaschendorf.km3.de), Nov 24 2009 STATUS approved

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Last modified January 17 06:12 EST 2022. Contains 350378 sequences. (Running on oeis4.)