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Last active June 4, 2024 18:12
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1108 Generalized Fermat prime bases with exponent 131072 from t5k.org
{[
2022202116,
1777034894,
1000032472,
399866798,
314187728,
271643232,
232050760,
231583998,
231295516,
230663736,
230655072,
230396424,
230275166,
230267830,
227669832,
227406222,
227239620,
227135580,
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226881840,
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226249042,
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224072278,
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223010262,
222996490,
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222593516,
222486400,
221636362,
221528336,
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221008432,
220956326,
220838206,
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220288248,
219984494,
219556482,
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219430370,
219331584,
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217170570,
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214059556,
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212862096,
212838152,
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212121206,
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210088618,
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207753480,
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204382086,
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204016062,
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203250558,
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202515696,
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197752702,
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196722548,
196703802,
196687752,
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188646712,
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187231212,
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185248324,
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175271418,
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170982934,
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169369502,
169299904,
169059224,
168885632,
168602250,
168576546,
167845698,
167604930,
167206862,
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166609122,
166397330,
166393356,
166288612,
166277052,
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165361824,
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163152818,
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151999396,
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151218242,
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150908454,
150863054,
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149057554,
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147265916,
146994540,
146520528,
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140928044,
140859866,
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140649396,
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140237690,
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139352402,
138896860,
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138830036,
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138527284,
138000006,
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137878102,
137521726,
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136227118,
136192168,
136124076,
136122686,
135744154,
135695350,
135623220,
135513092,
135497678,
135458028,
135332960,
135135930,
134706086,
134459616,
134447516,
134322272,
134206304,
134176868,
133954018,
133676500,
133569020,
133345154,
133180238,
133096042,
131820886,
131412078,
131370186,
131309874,
131112524,
130907540,
130593462,
130518578,
130198372,
130148002,
130128232,
130051980,
130048816,
129292212,
129159632,
128558886,
128520182,
127720948,
127093036,
126611934,
126423276,
126334514,
126199098,
126189358,
125966884,
125714084,
125141096,
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124749274,
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124393514,
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124133348,
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123306230,
123195196,
122941512,
122869094,
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119541900,
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119246256,
119137704,
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118109876,
117906758,
117687318,
117375862,
117345018,
117196584,
117153716,
117088740,
116936156,
116402336,
116036228,
116017862,
115992582,
115873312,
115704568,
115479166,
115409608,
115256562,
114687250,
114643510,
114340846,
114159720,
114055498,
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113904214,
113807058,
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113431922,
113328940,
113327472,
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113313172,
113191714,
113170004,
112996304,
112958834,
112852910,
112719374,
112580428,
112248096,
112053266,
112023072,
111673524,
111181588,
110866802,
110824714,
110428380,
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108195632,
108161744,
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107492880,
107420312,
107404768,
107222132,
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106508704,
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105861526,
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104907548,
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103828182,
103605376,
103289324,
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103209792,
103094212,
103013294,
102507732,
102469684,
102397132,
102257714,
102050324,
102021074,
101915106,
101856256,
101607438,
101328382,
101270816,
100865034,
100719472,
100534258,
100520930,
100441116,
100382228,
100369508,
100324226,
100010426,
99665972,
99650934,
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98240694,
98200338,
98137862,
97512766,
97046574,
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96734274,
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96111850,
95940796,
95635202,
95596816,
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92198216,
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91049202,
91033554,
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79383608,
79201682,
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68275006,
67894288,
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66131722,
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65569854,
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64791668,
64568930,
64506894,
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64024604,
63823568,
63168480,
63165756,
63112418,
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62146946,
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61030988,
60642326,
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60133106,
59720358,
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59515830,
59405420,
59362002,
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58589880,
58523466,
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57704312,
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56383242,
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55184170,
55015050,
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52412612,
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47090246,
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42254832,
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1063730,
909548,
689186,
572186,
386892,
228188,
130816,
62722
}]
@Hermann-SW
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Hermann-SW commented Jun 4, 2024

hermann@j4105:~$ gp -q
? GF=readvec("131072.gp")[1];
? #GF
1108
? GF[1]
2022202116
? GF[#GF]
62722
? 

Used latest_new_primes gist:
https://gist.github.com/Hermann-SW/eb39744899bf308365426ae64b0ff0c5

$ head -27 t5k.org_primes_lists_all.txt | tail -4
-----  ------------------------------- -------- ----- ---- --------------
 rank  description                     digits   who   year comment
-----  ------------------------------- -------- ----- ---- --------------
    1  2^82589933-1                    24862048 G16   2018 Mersenne 51??
$ grep "^[^^]*\^131072[^^]*$" t5k.org_primes_lists_all.txt | head -3
  727  2022202116^131072+1              1219734 L4704 2022 Generalized Fermat
  731  1777034894^131072+1              1212377 L4704 2022 Generalized Fermat
  775  1000032472^131072+1              1179650 L4704 2022 Generalized Fermat
$ grep "^[^^]*\^131072[^^]*$" t5k.org_primes_lists_all.txt | tail -3
 4059  228188^131072+1                   702323 g124  2010 Generalized Fermat
 4261  130816^131072+1                   670651 g308  2003 Generalized Fermat
 4567  62722^131072+1                    628808 g308  2003 Generalized Fermat
$

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