prod_n=4^100004 (tan(prime(n)pi/90))=cot^17(7π/90)*cot^36(11π/90)*cot^41(13π/90)*cot^24(19π/90)*tan^3(π/45)*tan^35(2π/45)*tan^34(4π/45)*tan^24(7π/45)*tan^27(8π/45)*tan^6(11π/45)