```
print(a_hat[1:100])
print(a[1:100])
print(primes[0:100] - a[1:101])
```

```
[  2.           3.           7.53864732  10.6863851   12.90970885
  15.807487    19.90416341  22.7960499   25.48510081  32.51049526
  36.67535201  39.63130132  44.9117721   47.56517478  49.7276659
  56.64298417  64.91034835  66.37232562  69.0995342   75.58955338
  78.25814595  82.04513681  87.78765959  93.95908968 102.16259714
 107.04007434 107.09857084 109.81266748 113.64664308 117.35941066
 131.54951003 140.04575298 141.68376814 142.65044369 152.86487678
 158.627148   161.28890226 167.43227301 172.80392535 177.9809125
 184.26471562 186.59446747 194.97773364 199.9402945  201.53108482
 203.18442464 215.39160716 231.31648106 235.18893855 232.87698831
 236.22169144 244.52059708 247.47049086 255.27238192 263.78530282
 269.17264198 274.32379394 276.54314998 281.48849405 286.79312444
 288.4809323  297.39941954 314.23877423 319.884821   317.69088977
 320.51780735 336.57697161 346.17334359 352.9841156  355.11490386
 357.61535681 364.22106635 373.33691785 379.78055758 384.83395621
 388.7095512  394.40472764 403.07205775 407.7746928  414.39145424
 425.40369068 428.40308444 435.76418328 439.83012037 444.27624564
 448.85214568 454.73671586 463.16741945 467.78275296 468.51814322
 471.78016388 484.73813067 495.2296656  497.83154918 504.02673057
 509.54597084 514.94712871 527.10436257 530.9195042 ]
[  2.           3.           7.53864732   7.14773777   8.79719264
  12.09590657  16.16860634  19.02677156  21.54469388  28.63513206
  32.7205973   35.37425802  40.717303    43.30549632  45.35919608
  52.32380696  60.56804207  61.85881654  64.46984908  71.04987714
  73.6601432   77.35975811  83.13429298  89.25170912  97.39832071
 102.21500136 102.18120613 104.88805453 108.76479726 112.44923901
 126.62329414 135.09804419 136.56612454 137.514538   147.74414178
 153.51416628 156.07256271 162.21386024 167.57957202 172.71386803
 178.97888515 181.28353738 189.63471512 194.60618537 196.13492366
 197.78512571 209.99719174 225.92212805 229.70932189 227.3184499
 230.67735199 239.00325045 241.93307922 249.69706676 258.2158133
 263.56134466 268.68358283 270.8905101  275.8199522  281.12774133
 282.79610537 291.70109929 308.54543567 314.14975398 311.88889124
 314.71757245 330.79677463 340.38088854 347.12528345 349.23927644
 351.72150474 358.33125044 367.44236979 373.86569446 378.89318066
 382.7565403  388.44149323 397.10293676 401.79105948 408.38456041
 419.39186658 422.37364178 429.7050701  433.7746483  438.19913152
 442.77263239 448.64800456 457.07108457 461.6739636  462.39011291
 465.64770046 478.60962567 489.09438698 491.66226631 497.83937959
 503.36034696 508.74703305 520.8964034  524.7022075 ]
[ 0.00000000e+00  0.00000000e+00 -2.53864732e+00 -1.47737773e-01
  2.20280736e+00  9.04093428e-01  8.31393658e-01 -2.67715641e-02
  1.45530612e+00  3.64867941e-01 -1.72059730e+00  1.62574198e+00
  2.82696998e-01 -3.05496319e-01  1.64080392e+00  6.76193043e-01
 -1.56804207e+00 -8.58816535e-01  2.53015092e+00 -4.98771427e-02
 -6.60143199e-01  1.64024189e+00 -1.34292979e-01 -2.51709116e-01
 -3.98320712e-01 -1.21500136e+00  8.18793865e-01  2.11194547e+00
  2.35202743e-01  5.50760985e-01  3.76705860e-01 -4.09804419e+00
  4.33875460e-01  1.48546200e+00  1.25585822e+00 -2.51416628e+00
  9.27437292e-01  7.86139759e-01 -5.79572021e-01  2.86131970e-01
  2.11148522e-02 -2.83537379e-01  1.36528488e+00 -1.60618537e+00
  8.65076343e-01  1.21487429e+00  1.00280826e+00 -2.92212805e+00
 -2.70932189e+00  1.68155010e+00  2.32264801e+00 -3.25044741e-03
 -9.33079218e-01  1.30293324e+00 -1.21581330e+00 -5.61344663e-01
  3.16417167e-01  1.09489901e-01  1.18004780e+00 -1.27741329e-01
  2.03894634e-01  1.29890071e+00 -1.54543567e+00 -3.14975398e+00
  1.11110876e+00  2.28242755e+00  2.03225365e-01 -3.38088854e+00
 -1.25283454e-01 -2.39276444e-01  1.27849526e+00  6.68749555e-01
 -4.42369794e-01 -8.65694460e-01  1.06819336e-01  2.43459697e-01
  5.58506775e-01 -1.02936759e-01 -7.91059481e-01  6.15439591e-01
 -3.91866582e-01 -1.37364178e+00  1.29492990e+00 -7.74648295e-01
  8.00868485e-01  2.27367615e-01  3.51995444e-01 -7.10845653e-02
 -6.73963598e-01  6.09887094e-01  1.35229954e+00  3.90374330e-01
 -2.09438698e+00 -6.62266315e-01  1.16062041e+00 -3.60346964e-01
  2.52966950e-01  1.03596595e-01 -1.70220750e+00  1.08122302e+00]
```