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A003276
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Numbers k such that the multiplicative group of residues prime to k, M_k, is isomorphic to M_{k+1}.
(Formerly M3000)
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1
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1, 3, 15, 104, 495, 975, 22935, 32864, 57584, 131144, 491535, 2539004, 3988424, 6235215, 7378371, 13258575, 17949434, 25637744, 26879684, 29357475, 32235735, 41246864, 48615735, 184611375, 229944855, 257278724, 290849624, 429461864, 550666515, 671054835, 706075095
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OFFSET
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1,2
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REFERENCES
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K. Miller, Solutions of phi(n) = phi(n+1) for 1 <= n <= 500000. Unpublished, 1972. [Cf. Math. Comp., Vol. 27, p. 447, 1973.]
D. Shanks, Solved and Unsolved Problems in Number Theory, 2nd. ed., Chelsea, 1978, p. 225.
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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LINKS
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PROG
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(PARI) {my(z=znstar(1)); for(n=1, 10^10, my(z1=znstar(n+1)); if(z[1]==z1[1]&&z[2]==z1[2], print1(n, ", ")); z=z1; ); } \\ Joerg Arndt, Mar 17 2016
(PARI) list(lim)=my(v=List(), old=[1, []]); forfactored(n=2, lim\1+1, my(cur=znstar(n)[1..2]); if(old==cur, listput(v, n[1]-1)); old=cur); Vec(v) \\ Charles R Greathouse IV, Jul 17 2022
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CROSSREFS
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KEYWORD
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nonn,nice
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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