Up to phi(n) <= 58 are completely factored.
phi(n) n publication 1 1, 2 not published 2 3, 4, 6 4 5, 8, 10, 12 6 7, 9, 14, 18 8 15, 16, 20, 24, 30 10 11, 22 12 13, 21, 26, 28, 36, 42 16 17, 32, 34, 40, 48, 60 Factorization of Cyclotomic Numbers
(Sophia Kokyuroku in Mathematics 26, November 1987)18 19, 27, 38, 54 20 25, 33, 44, 50, 66 Factorization of Cyclotomic Numbers 2
(Sophia Kokyuroku in Mathematics 29, February 1989)22 23, 46 24 35, 39, 45, 52, 56, 70, 72, 78, 84, 90 Factorization of Cyclotomic Numbers 3
(Sophia Kokyuroku in Mathematics 35, July 1992)28 29, 58 30 31, 62 Factorization of Cyclotomic Numbers 4
(Sophia Kokyuroku in Mathematics 42, July 1999)32 51, 64, 68, 80, 96, 102, 120 36 37, 57, 63, 74, 76, 108, 114, 126 (not published yet.) 40 41, 55, 75, 82, 88, 100, 110, 132, 150, (not published yet.) 42 43, 49, 86, 98 (not published yet.) 44 69, 92, 138 (not published yet.) 46 47, 94 (not published yet.) 48 65, 104, 105, 112, 130, 140, 144, 156, 168, 180, 210 (not published yet.)
Table 1 phi(n) n last update who factored 36 37 May 07, 2000 Conrad Curry (last number) 57 Feb. 14, 2001 Aiichi Yamasaki, Sean A. Irvine (last number),
Tetsuya Kobayashi, Mark Belangee63 Feb. 17, 2001 Aiichi Yamasaki, Yasunobu Torii, Sean A. Irvine (last number),
Tetsuya Kobayashi, Mark Belangee74 Oct. 04, 1999 Aiichi Yamasaki (last number) 76 Apr. 18, 1999 Aiichi Yamasaki (last number) 108 Aug. 04, 2000 Yasunobu Torii (last number) 114 Feb. 23, 2001 Aiichi Yamasaki, Masaki Ukai, Hisanori Mishima,
Sean A. Irvine (last number)126 Feb. 07, 2001 Aiichi Yamasaki, Masaki Ukai (last number),
Hisanori Mishima, Yasunobu Torii40 41 Oct. 25, 2000 Tetsuya Izu (last number), Andy Steward 55 Apr. 21, 2001 Tetsuya Kobayashi, Jens Franke (last number) 75 Jun. 23, 2001 David A. Miller, Tetsuya Kobayashi, Satoshi Tomabechi, Yasunobu Torii,
Katsuyuki Okeya, Thorsten Kleinjung82 Apr. 24, 2001 Satoshi Tomabechi, Tetsuya Kobayashi,
Katsuyuki Okeya (last number)88 Jan. 23, 2001 Katsuyuki Okeya (last number), Sean Irvine 100 May 10, 2001 Satoshi Tomabechi, Tetsuya Kobayashi, Hisanori Mishima,
Jens Franke (last number)110 May 12, 2001 David A. Miller, Jens Franke (last number) 132 Jan. 13, 2002 Tetsuya Izu, Sean Irvine, Joe Leherbauer (last number) 150 Jun. 17, 2001 Tetsuya Izu, Tetsuya Kobayashi, Yasunobu Torii,
Thorsten Kleinjung (last number)42 43 Jul. 01, 2001 Andy Steward, Robert Backstrom (last number) 49 Jan. 15, 2002 Andy Steward, Satoshi Tomabechi, Kunihiko Miyazaki, Sean Irvine,
Henrik Olsen (last number), Carsten Pedersen (last number)86 Jul. 24, 2002 Masaki Ukai, Tetsuya Kobayashi, Alexander Kruppa (last number) 98 Apr. 03, 2002 Masaki Ukai, Tetsuya Kobayashi, Alexander Kruppa (last number) 44 69 Jan. 12, 2003 Takahiro Nohara, Joe Leherbauer, Alexander Kruppa (last number) 92 Nov. 02, 2002 Tetsuya Kobayashi (last number), Jun Eto 138 Apr. 27, 2003 Tetsuya Kobayashi, David A. Miller, Sean A. Irvine (last number) 46 47 Mar. 08, 2002 Andy Steward, Satoshi Tomabechi, Henrik Olsen, Carsten Pedersen, Joe Leherbauer, Robert Backstrom (last number), Sean Irvine 94 Aug. 13, 2003 Tetsuya Kobayashi, Joe Leherbauer, Sean A. Irvine (last number), Robert G. Wilson v
Table 2 phi(n) n Cunningham form last update who's factoring 48 65 x65- 1 Feb. 09, 2005 Aiichi Yamasaki, Masaki Ukai, Sean A. Irvine, Alexander Kruppa, Tetsuya Taniguchi, Tom Cage, Tetsuya Kobayashi (last number) 104 x52+ 1 Nov. 30, 2004 Masaki Ukai, Steven Whitaker, Tomoya Adachi (last number) 105 x105- 1 Oct. 08, 2005 Aiichi Yamasaki, Masaki Ukai, Souichi Murata, Tom Cage, Tetsuya Kobayashi (last number) 112 x56+ 1 Oct. 03, 2004 Takahiro Nohara, Masaki Ukai, Tetsuya Kobayashi (last number) 130 x65+ 1 Feb. 26, 2005 Masaki Ukai, Tetsuya Kobayashi (last number) 140 x70+ 1 Nov. 15, 2005 Masaki Ukai, Aiichi Yamasaki, Tetsuya Kobayashi (last number), Tomoya Adachi, Tom Cage 144 x72+ 1 Oct. 12, 2004 Masaki Ukai, Alexander Kruppa, Tetsuya Kobayashi (last number) 156 x78+ 1 Mar. 07, 2005 Masaki Ukai, Aiichi Yamasaki, Tetsuya Kobayashi (last number) 168 x84+ 1 Dec. 25, 2004 Masaki Ukai, Tetsuya Kobayashi (last number) 180 x90+ 1 Jan. 19, 2005 Masaki Ukai, Aiichi Yamasaki, Philippe Strohl, Tomoya Adachi (last number) 210 x105+ 1 Mar. 23, 2005 Takahiro Nohara, Masaki Ukai, Aiichi Yamasaki, Tetsuya Kobayashi (last number) 52 53 x53- 1 Jul. 01, 2006 Masaki Ukai, Greg Childers, Andy Steward, Robert Backstrom, Hisanori Mishima, Alexander Kruppa (last number) 106 x53+ 1 Feb. 27, 2007 Takahiro Nohara, Masaki Ukai, Hisanori Mishima, Greg Childers (last number) 54 81 x81- 1 Nov. 16, 2006 Masaki Ukai, Sinkiti Sibata, Hisanori Mishima, Greg Childers (last number) 162 x81+ 1 Feb. 17, 2007 Tetsuya Kobayashi, Masaki Ukai, Aiichi Yamasaki, Sinkiti Sibata, Hisanori Mishima, Tomoya Adachi (last number) 56 87 x87- 1 Jan 28, 2012 Tetsuya Kobayashi, Aiichi Yamasaki, Greg Childers, Hisanori Mishima, Sander Hoogendoorn, Tim Morrow,
Masaki Ukai (last number)116 x58+ 1 Mar. 21, 2012 Tetsuya Kobayashi, Aiichi Yamasaki, Hisanori Mishima, Sander Hoogendoorn, Greg Childers,
Masaki Ukai (last number)174 x87+ 1 Jun. 16, 2012 Tetsuya Kobayashi, Aiichi Yamasaki, Hisanori Mishima, Sander Hoogendoorn,
Masaki Ukai (last number)58 59 x59- 1 Nov. 28, 2011 Takahiro Nohara, Sinkiti Sibata, Andy Steward, Robert Backstrom, Hisanori Mishima, Yeong Uk Jo, Kenji Ibusuki,
Masaki Ukai (last number)118 x59+ 1 Sep. 19, 2008 Masaki Ukai, Aiichi Yamasaki, Sinkiti Sibata, Hisanori Mishima,
Greg Childers (last number)
link
index of "Appendix 1. Factorization results"