m=1;(1..1e6).map{|d|n=(d*q=Math::PI).round;k=(n-q*d).abs/d;k<m&&(m=k;puts [n,d]*?/)}
Standard input is empty
3/1 13/4 16/5 19/6 22/7 66/21 179/57 201/64 223/71 245/78 267/85 289/92 311/99 333/106 355/113 1775/565 3905/1243 8165/2599 8875/2825 9585/3051 10295/3277 11005/3503 11715/3729 12425/3955 13135/4181 13845/4407 17395/5537 18815/5989 20235/6441 33015/10509 52163/16604 52518/16717 52873/16830 53228/16943 53583/17056 53938/17169 54293/17282 54648/17395 55003/17508 55358/17621 55713/17734 56068/17847 56423/17960 56778/18073 57133/18186 57488/18299 57843/18412 58198/18525 58553/18638 58908/18751 59263/18864 59618/18977 59973/19090 60328/19203 60683/19316 61038/19429 61393/19542 61748/19655 62103/19768 62458/19881 62813/19994 63168/20107 63523/20220 63878/20333 64233/20446 64588/20559 64943/20672 65298/20785 65653/20898 66008/21011 66363/21124 66718/21237 67073/21350 67428/21463 67783/21576 68138/21689 68493/21802 68848/21915 69203/22028 69558/22141 69913/22254 70268/22367 70623/22480 70978/22593 71333/22706 71688/22819 72043/22932 72398/23045 72753/23158 73108/23271 73463/23384 73818/23497 74173/23610 74528/23723 74883/23836 75238/23949 75593/24062 75948/24175 76303/24288 76658/24401 77013/24514 77368/24627 77723/24740 78078/24853 78433/24966 78788/25079 79143/25192 79498/25305 79853/25418 80208/25531 80563/25644 80918/25757 81273/25870 81628/25983 81983/26096 82338/26209 82693/26322 83048/26435 83403/26548 83758/26661 84113/26774 84468/26887 84823/27000 85178/27113 85533/27226 85888/27339 86243/27452 86598/27565 86953/27678 87308/27791 87663/27904 88018/28017 88373/28130 88728/28243 89083/28356 89438/28469 89793/28582 90148/28695 90503/28808 90858/28921 91213/29034 91568/29147 91923/29260 92278/29373 92633/29486 92988/29599 93343/29712 93698/29825 94053/29938 94408/30051 94763/30164 95118/30277 95473/30390 95828/30503 96183/30616 96538/30729 96893/30842 97248/30955 97603/31068 97958/31181 98313/31294 98668/31407 99023/31520 99378/31633 99733/31746 100088/31859 100443/31972 100798/32085 101153/32198 101508/32311 101863/32424 102218/32537 102573/32650 102928/32763 103283/32876 103638/32989 103993/33102 104348/33215 208341/66317 312689/99532 833719/265381 1146408/364913 3126535/995207