(20:44) gp > a = 1/2
%11 = 1/2
(20:44) gp > for( k=3, 100, a = f(a, 1/k); print( "(1/2) * .
(1/2) * ... * (1/3) = 5/7
(1/2) * ... * (1/4) = 9/11
(1/2) * ... * (1/5) = 7/8
(1/2) * ... * (1/6) = 10/11
(1/2) * ... * (1/7) = 27/29
(1/2) * ... * (1/8) = 35/37
(1/2) * ... * (1/9) = 22/23
(1/2) * ... * (1/10) = 27/28
(1/2) * ... * (1/11) = 65/67
(1/2) * ... * (1/12) = 77/79
(1/2) * ... * (1/13) = 45/46
(1/2) * ... * (1/14) = 52/53
(1/2) * ... * (1/15) = 119/121
(1/2) * ... * (1/16) = 135/137
(1/2) * ... * (1/17) = 76/77
(1/2) * ... * (1/18) = 85/86
(1/2) * ... * (1/19) = 189/191
(1/2) * ... * (1/20) = 209/211
(1/2) * ... * (1/21) = 115/116
(1/2) * ... * (1/22) = 126/127
(1/2) * ... * (1/23) = 275/277
(1/2) * ... * (1/24) = 299/301
(1/2) * ... * (1/25) = 162/163
(1/2) * ... * (1/26) = 175/176
(1/2) * ... * (1/27) = 377/379
(1/2) * ... * (1/28) = 405/407
(1/2) * ... * (1/29) = 217/218
(1/2) * ... * (1/30) = 232/233
(1/2) * ... * (1/31) = 495/497
(1/2) * ... * (1/32) = 527/529
(1/2) * ... * (1/33) = 280/281
(1/2) * ... * (1/34) = 297/298
(1/2) * ... * (1/35) = 629/631
(1/2) * ... * (1/36) = 665/667
(1/2) * ... * (1/37) = 351/352
(1/2) * ... * (1/38) = 370/371
(1/2) * ... * (1/39) = 779/781
(1/2) * ... * (1/40) = 819/821
(1/2) * ... * (1/41) = 430/431
(1/2) * ... * (1/42) = 451/452
(1/2) * ... * (1/43) = 945/947
(1/2) * ... * (1/44) = 989/991
(1/2) * ... * (1/45) = 517/518
(1/2) * ... * (1/46) = 540/541
(1/2) * ... * (1/47) = 1127/1129
(1/2) * ... * (1/48) = 1175/1177
(1/2) * ... * (1/49) = 612/613
(1/2) * ... * (1/50) = 637/638
(1/2) * ... * (1/51) = 1325/1327
(1/2) * ... * (1/52) = 1377/1379
(1/2) * ... * (1/53) = 715/716
(1/2) * ... * (1/54) = 742/743
(1/2) * ... * (1/55) = 1539/1541
(1/2) * ... * (1/56) = 1595/1597
(1/2) * ... * (1/57) = 826/827
(1/2) * ... * (1/58) = 855/856
(1/2) * ... * (1/59) = 1769/1771
(1/2) * ... * (1/60) = 1829/1831
(1/2) * ... * (1/61) = 945/946
(1/2) * ... * (1/62) = 976/977
(1/2) * ... * (1/63) = 2015/2017
(1/2) * ... * (1/64) = 2079/2081
(1/2) * ... * (1/65) = 1072/1073
(1/2) * ... * (1/66) = 1105/1106
(1/2) * ... * (1/67) = 2277/2279
(1/2) * ... * (1/68) = 2345/2347
(1/2) * ... * (1/69) = 1207/1208
(1/2) * ... * (1/70) = 1242/1243
(1/2) * ... * (1/71) = 2555/2557
(1/2) * ... * (1/72) = 2627/2629
(1/2) * ... * (1/73) = 1350/1351
(1/2) * ... * (1/74) = 1387/1388
(1/2) * ... * (1/75) = 2849/2851
(1/2) * ... * (1/76) = 2925/2927
(1/2) * ... * (1/77) = 1501/1502
(1/2) * ... * (1/78) = 1540/1541
(1/2) * ... * (1/79) = 3159/3161
(1/2) * ... * (1/80) = 3239/3241
(1/2) * ... * (1/81) = 1660/1661
(1/2) * ... * (1/82) = 1701/1702
(1/2) * ... * (1/83) = 3485/3487
(1/2) * ... * (1/84) = 3569/3571
(1/2) * ... * (1/85) = 1827/1828
(1/2) * ... * (1/86) = 1870/1871
(1/2) * ... * (1/87) = 3827/3829
(1/2) * ... * (1/88) = 3915/3917
(1/2) * ... * (1/89) = 2002/2003
(1/2) * ... * (1/90) = 2047/2048
(1/2) * ... * (1/91) = 4185/4187
(1/2) * ... * (1/92) = 4277/4279
(1/2) * ... * (1/93) = 2185/2186
(1/2) * ... * (1/94) = 2232/2233
(1/2) * ... * (1/95) = 4559/4561
(1/2) * ... * (1/96) = 4655/4657
(1/2) * ... * (1/97) = 2376/2377
(1/2) * ... * (1/98) = 2425/2426
(1/2) * ... * (1/99) = 4949/4951
(1/2) * ... * (1/100) = 5049/5051
(20:44) gp >