Δευτέρα 15 Απριλίου 2013

Lehmer-Ramanujan Numbers


N. Lygeros, O. Rozier

Odd prime values of the Ramanujan tau function in The Ramanujan Journal , 15/03/2013- Pdf.
|2cos(theta(p))|                 p                   q               size
 primality
0.822567 251 3 26
P Lehmer
0.381879 677 3 32
P LR
0.798883 971 3 33
P LR
0.413262 983 3 33
P LR
1.709172 47 5 37
P LR
0.690618 197 5 50
P LR
0.149742 227 11 130
P LR
0.962083 379 11 142
P LR
1.600770 829 11 161
P LR
1.229474 607 13 184
P LR
1.099902 761 13 190
P LR
1.162514 29 31 242
P LR
0.716263 281 19 243
P LR
0.084978 439 29 407
P LR
1.709172 47 47 424
P LR
1.216486 947 41 654
P LR
1.162514 29 83 660
P LR
0.508967 811 43 671
P LR
1.153966 613 47 706
P LR
0.474429 89 73 772
P LR
0.642521 401 59 831
P LR
1.747589 937 59 949
P LR
0.314073 977 59 954
P LR  
1.452457 773 67 1049
P LR Titan 01
0.701505 503 73 1070
P LR Titan 02
1.561722 787 73 1147
P LR Titan 03
0.466280 173 103 1256
P LR Titan 04
0.630563 421 89 1271
P LR Titan 05
0.890666 223 101 1292
P LR Titan 06
0.592221 239 107 1387
P LR Titan 07
0.148174 557 109 1631
P LR Titan 08
1.000872 11 317 1810
P LR Titan 09
1.162514 29 229 1834
P LR Titan 10
0.434747 113 197 2214
P LR Titan 11
0.568639 809 149 2367
P LR Titan 12
0.765198 491 167 2457
P LR Titan 13
1.179650 17 433 2924
P LR Titan 14
0.241885 353 239 3335
P LR Titan 15
0.886942 97 331 3606
P LR Titan 16
0.890666 223 281 3617
P LR Titan 17
0.268015 881 241 3888
pp
0.268015 881 251 4050
pp
0.457445 109 373 4169
pp
0.630563 421 317 4561
pp
1.541981 941 349 5692
pp
0.265111 349 409 5706
pp
0.363777 487 479 7066
pp
0.798883 971 433 7098
pp
1.583644 449 547 7965
pp
1.649726 953 557 9111
pp
0.886942 97 887 9682
pp
1.644580 857 683 11002
pp Géant
0.944962 59 1381 13441
pp
0.109065 643 953 14703
P LR Géant 01
1.153966 613 1013 15515
pp
0.822567 251 1193 15733
pp
1.323747 673 1019 15834
pp
1.393695 79 1571 16386
pp
0.987446 571 1091 16526
pp
1.441636 587 1093 16629
pp
0.026114 821 1163 18626
pp
1.868850 619 1297 19900
pp
0.415345 41 2297 20367
pp
1.333141 257 1699 22506
pp
0.663405 691 1523 23770
pp
1.100312 157 2207 26643
P LR Géant 02
0.879617 331 2129 29492
pp
1.709172 47 4177 38404
pp
1.403115 739 2503 39475
pp
0.266890 463 2753 40347
pp
1.631383 461 3019 44215
pp
0.165452 199 4519 57125
pp Super Géant
1.829136 877 3617 58531
pp
1.644580 857 3847 62042
pp
0.890722 409 4423 63520
pp
1.393695 79 6317 65920
pp
0.661184 839 4177 67153
pp
0.944962 59 8971 87365
pp
0.890666 223 9431 121795
pp Hyper Géant
1.918814 103 14939 165374
pp
0.415345 41 28289 250924
pp



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