|  line  | 
 count  | 
 pod  | 
 subroutine  | 
| 
2
 | 
 38  | 
 n/a  | 
 BEGIN  | 
| 
3
 | 
 38  | 
 n/a  | 
 BEGIN  | 
| 
4
 | 
 38  | 
 n/a  | 
 BEGIN  | 
| 
7
 | 
 38  | 
 n/a  | 
 BEGIN  | 
| 
12
 | 
 38  | 
 n/a  | 
 BEGIN  | 
| 
25
 | 
 38  | 
 n/a  | 
 BEGIN  | 
| 
26
 | 
 38  | 
 n/a  | 
 BEGIN  | 
| 
27
 | 
 38  | 
 n/a  | 
 BEGIN  | 
| 
28
 | 
 38  | 
 n/a  | 
 BEGIN  | 
| 
31
 | 
 38  | 
 n/a  | 
 BEGIN  | 
| 
32
 | 
 38  | 
 n/a  | 
 BEGIN  | 
| 
33
 | 
 38  | 
 n/a  | 
 BEGIN  | 
| 
34
 | 
 38  | 
 n/a  | 
 BEGIN  | 
| 
35
 | 
 38  | 
 n/a  | 
 BEGIN  | 
| 
36
 | 
 38  | 
 n/a  | 
 BEGIN  | 
| 
37
 | 
 38  | 
 n/a  | 
 BEGIN  | 
| 
38
 | 
 38  | 
 n/a  | 
 BEGIN  | 
| 
39
 | 
 38  | 
 n/a  | 
 BEGIN  | 
| 
40
 | 
 38  | 
 n/a  | 
 BEGIN  | 
| 
41
 | 
 38  | 
 n/a  | 
 BEGIN  | 
| 
42
 | 
 38  | 
 n/a  | 
 BEGIN  | 
| 
43
 | 
 38  | 
 n/a  | 
 BEGIN  | 
| 
44
 | 
 38  | 
 n/a  | 
 BEGIN  | 
| 
45
 | 
 38  | 
 n/a  | 
 BEGIN  | 
| 
45
 | 
 0  | 
 n/a  | 
 BEGIN  | 
| 
51
 | 
 1191  | 
 n/a  | 
 _MPFR_available  | 
| 
69
 | 
 0  | 
 No  | 
 prime_precalc  | 
| 
74
 | 
 0  | 
 No  | 
 prime_memfree  | 
| 
77
 | 
 5  | 
 n/a  | 
 _get_prime_cache_size  | 
| 
78
 | 
 0  | 
 n/a  | 
 _prime_memfreeall  | 
| 
82
 | 
 0  | 
 n/a  | 
 _is_positive_int  | 
| 
90
 | 
 18414  | 
 n/a  | 
 _bigint_to_int  | 
| 
94
 | 
 1012  | 
 n/a  | 
 _upgrade_to_float  | 
| 
104
 | 
 30  | 
 n/a  | 
 _find_big_acc  | 
| 
123
 | 
 0  | 
 n/a  | 
 _bfdigits  | 
| 
141
 | 
 181  | 
 n/a  | 
 _validate_num  | 
| 
154
 | 
 13862  | 
 n/a  | 
 _validate_positive_integer  | 
| 
184
 | 
 1215  | 
 n/a  | 
 _validate_integer  | 
| 
210
 | 
 0  | 
 n/a  | 
 _binary_search  | 
| 
238
 | 
 2  | 
 n/a  | 
 _tiny_prime_count  | 
| 
251
 | 
 8443  | 
 n/a  | 
 _is_prime7  | 
| 
323
 | 
 4180  | 
 No  | 
 is_prime  | 
| 
344
 | 
 60  | 
 No  | 
 is_bpsw_prime  | 
| 
355
 | 
 5  | 
 No  | 
 is_provable_prime  | 
| 
389
 | 
 54  | 
 n/a  | 
 _sieve_erat_string  | 
| 
413
 | 
 620  | 
 n/a  | 
 _sieve_erat  | 
| 
428
 | 
 547  | 
 n/a  | 
 _sieve_segment  | 
| 
481
 | 
 2  | 
 No  | 
 trial_primes  | 
| 
519
 | 
 169  | 
 No  | 
 primes  | 
| 
565
 | 
 0  | 
 No  | 
 sieve_range  | 
| 
600
 | 
 12  | 
 No  | 
 sieve_prime_cluster  | 
| 
719
 | 
 0  | 
 n/a  | 
 _n_ramanujan_primes  | 
| 
734
 | 
 0  | 
 n/a  | 
 _ramanujan_primes  | 
| 
745
 | 
 0  | 
 No  | 
 is_ramanujan_prime  | 
| 
753
 | 
 0  | 
 No  | 
 nth_ramanujan_prime  | 
| 
760
 | 
 4959  | 
 No  | 
 next_prime  | 
| 
788
 | 
 157  | 
 No  | 
 prev_prime  | 
| 
809
 | 
 57  | 
 No  | 
 partitions  | 
| 
828
 | 
 67  | 
 No  | 
 primorial  | 
| 
851
 | 
 103  | 
 No  | 
 consecutive_integer_lcm  | 
| 
865
 | 
 25  | 
 No  | 
 jordan_totient  | 
| 
888
 | 
 108  | 
 Yes  | 
 euler_phi  | 
| 
935
 | 
 3  | 
 Yes  | 
 euler_phi_range  | 
| 
966
 | 
 14  | 
 Yes  | 
 moebius  | 
| 
979
 | 
 4  | 
 No  | 
 is_square_free  | 
| 
982
 | 
 1  | 
 No  | 
 is_semiprime  | 
| 
1008
 | 
 370  | 
 n/a  | 
 _totpred  | 
| 
1026
 | 
 3  | 
 No  | 
 is_totient  | 
| 
1035
 | 
 6  | 
 Yes  | 
 moebius_range  | 
| 
1081
 | 
 1  | 
 No  | 
 mertens  | 
| 
1111
 | 
 0  | 
 No  | 
 ramanujan_sum  | 
| 
1120
 | 
 4  | 
 No  | 
 liouville  | 
| 
1128
 | 
 5  | 
 No  | 
 exp_mangoldt  | 
| 
1135
 | 
 3  | 
 No  | 
 carmichael_lambda  | 
| 
1152
 | 
 1  | 
 No  | 
 is_carmichael  | 
| 
1201
 | 
 0  | 
 No  | 
 is_quasi_carmichael  | 
| 
1222
 | 
 0  | 
 n/a  | 
 __ANON__  | 
| 
1227
 | 
 0  | 
 n/a  | 
 __ANON__  | 
| 
1237
 | 
 0  | 
 n/a  | 
 __ANON__  | 
| 
1244
 | 
 0  | 
 n/a  | 
 __ANON__  | 
| 
1252
 | 
 0  | 
 No  | 
 is_pillai  | 
| 
1267
 | 
 2  | 
 No  | 
 is_fundamental  | 
| 
1290
 | 
 920  | 
 No  | 
 divisor_sum  | 
| 
1377
 | 
 1089  | 
 n/a  | 
 _tablephi  | 
| 
1395
 | 
 21  | 
 No  | 
 legendre_phi  | 
| 
1427
 | 
 61  | 
 n/a  | 
 _sieve_prime_count  | 
| 
1434
 | 
 8427  | 
 n/a  | 
 _count_with_sieve  | 
| 
1453
 | 
 76  | 
 n/a  | 
 _lehmer_pi  | 
| 
1503
 | 
 20  | 
 No  | 
 prime_count  | 
| 
1550
 | 
 20  | 
 No  | 
 nth_prime  | 
| 
1600
 | 
 1  | 
 No  | 
 nth_prime_upper  | 
| 
1633
 | 
 3  | 
 No  | 
 nth_prime_lower  | 
| 
1657
 | 
 0  | 
 No  | 
 inverse_li  | 
| 
1683
 | 
 0  | 
 n/a  | 
 _inverse_R  | 
| 
1710
 | 
 1  | 
 No  | 
 nth_prime_approx  | 
| 
1766
 | 
 5  | 
 No  | 
 prime_count_approx  | 
| 
1822
 | 
 11  | 
 No  | 
 prime_count_lower  | 
| 
1970
 | 
 11  | 
 No  | 
 prime_count_upper  | 
| 
2118
 | 
 1  | 
 No  | 
 twin_prime_count  | 
| 
2132
 | 
 0  | 
 No  | 
 ramanujan_prime_count  | 
| 
2147
 | 
 2  | 
 No  | 
 twin_prime_count_approx  | 
| 
2180
 | 
 1  | 
 No  | 
 nth_twin_prime  | 
| 
2195
 | 
 0  | 
 No  | 
 nth_twin_prime_approx  | 
| 
2210
 | 
 0  | 
 n/a  | 
 __ANON__  | 
| 
2211
 | 
 0  | 
 n/a  | 
 __ANON__  | 
| 
2215
 | 
 0  | 
 No  | 
 nth_ramanujan_prime_upper  | 
| 
2228
 | 
 0  | 
 No  | 
 nth_ramanujan_prime_lower  | 
| 
2239
 | 
 0  | 
 No  | 
 nth_ramanujan_prime_approx  | 
| 
2245
 | 
 0  | 
 No  | 
 ramanujan_prime_count_upper  | 
| 
2250
 | 
 0  | 
 n/a  | 
 __ANON__  | 
| 
2253
 | 
 0  | 
 No  | 
 ramanujan_prime_count_lower  | 
| 
2258
 | 
 0  | 
 n/a  | 
 __ANON__  | 
| 
2261
 | 
 0  | 
 No  | 
 ramanujan_prime_count_approx  | 
| 
2267
 | 
 0  | 
 n/a  | 
 __ANON__  | 
| 
2268
 | 
 0  | 
 n/a  | 
 __ANON__  | 
| 
2272
 | 
 0  | 
 n/a  | 
 _sum_primes_n  | 
| 
2282
 | 
 0  | 
 n/a  | 
 __ANON__  | 
| 
2297
 | 
 0  | 
 No  | 
 sum_primes  | 
| 
2337
 | 
 0  | 
 No  | 
 print_primes  | 
| 
2365
 | 
 68050  | 
 n/a  | 
 _mulmod  | 
| 
2390
 | 
 51903  | 
 n/a  | 
 _addmod  | 
| 
2402
 | 
 3602  | 
 n/a  | 
 _native_powmod  | 
| 
2414
 | 
 302  | 
 n/a  | 
 _powmod  | 
| 
2438
 | 
 7  | 
 No  | 
 gcd  | 
| 
2455
 | 
 4  | 
 No  | 
 lcm  | 
| 
2466
 | 
 3  | 
 No  | 
 gcdext  | 
| 
2506
 | 
 7  | 
 No  | 
 chinese  | 
| 
2562
 | 
 0  | 
 n/a  | 
 _from_128  | 
| 
2569
 | 
 528  | 
 No  | 
 vecsum  | 
| 
2587
 | 
 14074  | 
 No  | 
 vecprod  | 
| 
2599
 | 
 1  | 
 No  | 
 vecmin  | 
| 
2605
 | 
 1  | 
 No  | 
 vecmax  | 
| 
2612
 | 
 0  | 
 No  | 
 vecextract  | 
| 
2629
 | 
 0  | 
 No  | 
 sumdigits  | 
| 
2648
 | 
 4  | 
 No  | 
 invmod  | 
| 
2671
 | 
 1  | 
 n/a  | 
 _verify_sqrtmod  | 
| 
2683
 | 
 1  | 
 No  | 
 sqrtmod  | 
| 
2736
 | 
 19419  | 
 No  | 
 addmod  | 
| 
2745
 | 
 7368  | 
 No  | 
 mulmod  | 
| 
2755
 | 
 0  | 
 No  | 
 divmod  | 
| 
2766
 | 
 22  | 
 No  | 
 powmod  | 
| 
2783
 | 
 80896  | 
 n/a  | 
 _gcd_ui  | 
| 
2793
 | 
 1194  | 
 No  | 
 is_power  | 
| 
2865
 | 
 1  | 
 No  | 
 is_square  | 
| 
2873
 | 
 0  | 
 No  | 
 is_prime_power  | 
| 
2889
 | 
 2  | 
 No  | 
 is_polygonal  | 
| 
2930
 | 
 132  | 
 No  | 
 valuation  | 
| 
2952
 | 
 0  | 
 No  | 
 hammingweight  | 
| 
2959
 | 
 3  | 
 n/a  | 
 _splitdigits  | 
| 
2982
 | 
 3  | 
 No  | 
 todigits  | 
| 
2993
 | 
 0  | 
 No  | 
 todigitstring  | 
| 
3007
 | 
 1  | 
 No  | 
 fromdigits  | 
| 
3045
 | 
 1  | 
 No  | 
 sqrtint  | 
| 
3051
 | 
 2  | 
 No  | 
 rootint  | 
| 
3063
 | 
 0  | 
 No  | 
 logint  | 
| 
3098
 | 
 103  | 
 n/a  | 
 _bernoulli_seidel  | 
| 
3125
 | 
 111  | 
 No  | 
 bernfrac  | 
| 
3138
 | 
 518  | 
 No  | 
 stirling  | 
| 
3181
 | 
 1259  | 
 n/a  | 
 _harmonic_split  | 
| 
3191
 | 
 79  | 
 No  | 
 harmfrac  | 
| 
3200
 | 
 21  | 
 No  | 
 harmreal  | 
| 
3254
 | 
 10  | 
 No  | 
 is_pseudoprime  | 
| 
3274
 | 
 0  | 
 No  | 
 is_euler_pseudoprime  | 
| 
3297
 | 
 0  | 
 No  | 
 is_euler_plumb_pseudoprime  | 
| 
3311
 | 
 3776  | 
 n/a  | 
 _miller_rabin_2  | 
| 
3366
 | 
 3614  | 
 No  | 
 is_strong_pseudoprime  | 
| 
3457
 | 
 708  | 
 No  | 
 kronecker  | 
| 
3492
 | 
 5235  | 
 n/a  | 
 _binomialu  | 
| 
3513
 | 
 5235  | 
 No  | 
 binomial  | 
| 
3554
 | 
 14872  | 
 n/a  | 
 _product  | 
| 
3570
 | 
 768  | 
 No  | 
 factorial  | 
| 
3593
 | 
 0  | 
 No  | 
 factorialmod  | 
| 
3603
 | 
 0  | 
 n/a  | 
 __ANON__  | 
| 
3611
 | 
 0  | 
 n/a  | 
 __ANON__  | 
| 
3620
 | 
 242  | 
 n/a  | 
 _is_perfect_square  | 
| 
3640
 | 
 0  | 
 No  | 
 is_primitive_root  | 
| 
3668
 | 
 10  | 
 No  | 
 znorder  | 
| 
3710
 | 
 2  | 
 n/a  | 
 _dlp_trial  | 
| 
3732
 | 
 1  | 
 n/a  | 
 _dlp_bsgs  | 
| 
3779
 | 
 2  | 
 No  | 
 znlog  | 
| 
3804
 | 
 8  | 
 No  | 
 znprimroot  | 
| 
3840
 | 
 11  | 
 n/a  | 
 _lucas_selfridge_params  | 
| 
3863
 | 
 228  | 
 n/a  | 
 _lucas_extrastrong_params  | 
| 
3881
 | 
 157  | 
 No  | 
 lucas_sequence  | 
| 
4009
 | 
 0  | 
 n/a  | 
 _lucasuv  | 
| 
4110
 | 
 0  | 
 No  | 
 lucasu  | 
| 
4111
 | 
 0  | 
 No  | 
 lucasv  | 
| 
4114
 | 
 5  | 
 No  | 
 is_lucas_pseudoprime  | 
| 
4128
 | 
 6  | 
 No  | 
 is_strong_lucas_pseudoprime  | 
| 
4159
 | 
 143  | 
 No  | 
 is_extra_strong_lucas_pseudoprime  | 
| 
4190
 | 
 85  | 
 No  | 
 is_almost_extra_strong_lucas_pseudoprime  | 
| 
4229
 | 
 0  | 
 No  | 
 is_frobenius_khashin_pseudoprime  | 
| 
4260
 | 
 1  | 
 No  | 
 is_frobenius_underwood_pseudoprime  | 
| 
4309
 | 
 2  | 
 n/a  | 
 _perrin_signature  | 
| 
4331
 | 
 2  | 
 No  | 
 is_perrin_pseudoprime  | 
| 
4359
 | 
 0  | 
 No  | 
 is_catalan_pseudoprime  | 
| 
4366
 | 
 1  | 
 No  | 
 is_frobenius_pseudoprime  | 
| 
4415
 | 
 0  | 
 No  | 
 is_mersenne_prime  | 
| 
4441
 | 
 206  | 
 n/a  | 
 _poly_new  | 
| 
4464
 | 
 1654  | 
 n/a  | 
 _poly_mod_mul  | 
| 
4493
 | 
 103  | 
 n/a  | 
 _poly_mod_pow  | 
| 
4506
 | 
 103  | 
 n/a  | 
 _test_anr  | 
| 
4515
 | 
 10  | 
 No  | 
 is_aks_prime  | 
| 
4578
 | 
 39  | 
 n/a  | 
 _basic_factor  | 
| 
4611
 | 
 280  | 
 No  | 
 trial_factor  | 
| 
4726
 | 
 268  | 
 No  | 
 factor  | 
| 
4778
 | 
 125  | 
 n/a  | 
 _found_factor  | 
| 
4795
 | 
 0  | 
 No  | 
 squfof_factor  | 
| 
4798
 | 
 5  | 
 No  | 
 prho_factor  | 
| 
4890
 | 
 107  | 
 No  | 
 pbrent_factor  | 
| 
4974
 | 
 7  | 
 No  | 
 pminus1_factor  | 
| 
5125
 | 
 3  | 
 No  | 
 holf_factor  | 
| 
5171
 | 
 2  | 
 No  | 
 fermat_factor  | 
| 
5220
 | 
 7  | 
 No  | 
 ecm_factor  | 
| 
5411
 | 
 67  | 
 No  | 
 divisors  | 
| 
5447
 | 
 2  | 
 No  | 
 chebyshev_theta  | 
| 
5460
 | 
 1  | 
 No  | 
 chebyshev_psi  | 
| 
5476
 | 
 0  | 
 No  | 
 hclassno  | 
| 
5511
 | 
 0  | 
 n/a  | 
 _taup  | 
| 
5540
 | 
 9  | 
 n/a  | 
 _tauprime  | 
| 
5565
 | 
 9  | 
 n/a  | 
 _taupower  | 
| 
5578
 | 
 4  | 
 No  | 
 ramanujan_tau  | 
| 
5595
 | 
 18  | 
 No  | 
 ExponentialIntegral  | 
| 
5688
 | 
 27  | 
 No  | 
 LogarithmicIntegral  | 
| 
5836
 | 
 160  | 
 No  | 
 RiemannZeta  | 
| 
5934
 | 
 14  | 
 No  | 
 RiemannR  | 
| 
6055
 | 
 1  | 
 No  | 
 LambertW  | 
| 
6123
 | 
 986  | 
 No  | 
 Pi  | 
| 
6233
 | 
 1  | 
 No  | 
 forpart  | 
| 
6237
 | 
 0  | 
 No  | 
 forcomp  | 
| 
6241
 | 
 1  | 
 n/a  | 
 _forcompositions  | 
| 
6304
 | 
 0  | 
 n/a  | 
 __ANON__  | 
| 
6307
 | 
 0  | 
 n/a  | 
 __ANON__  | 
| 
6308
 | 
 0  | 
 n/a  | 
 __ANON__  | 
| 
6315
 | 
 1  | 
 No  | 
 forcomb  | 
| 
6350
 | 
 1  | 
 n/a  | 
 _forperm  | 
| 
6385
 | 
 1  | 
 No  | 
 forperm  | 
| 
6393
 | 
 0  | 
 No  | 
 forderange  | 
| 
6402
 | 
 78  | 
 n/a  | 
 _multiset_permutations  | 
| 
6423
 | 
 0  | 
 n/a  | 
 __ANON__  | 
| 
6428
 | 
 38  | 
 n/a  | 
 BEGIN  | 
| 
6438
 | 
 0  | 
 No  | 
 numtoperm  | 
| 
6458
 | 
 2  | 
 No  | 
 permtonum  | 
| 
6484
 | 
 0  | 
 No  | 
 randperm  | 
| 
6513
 | 
 0  | 
 No  | 
 shuffle  | 
| 
6528
 | 
 35  | 
 No  | 
 urandomb  | 
| 
6537
 | 
 34  | 
 No  | 
 urandomm  | 
| 
6561
 | 
 2  | 
 No  | 
 random_prime  | 
| 
6574
 | 
 3  | 
 No  | 
 random_ndigit_prime  | 
| 
6582
 | 
 6  | 
 No  | 
 random_nbit_prime  | 
| 
6590
 | 
 1  | 
 No  | 
 random_strong_prime  | 
| 
6599
 | 
 3  | 
 No  | 
 random_maurer_prime  | 
| 
6614
 | 
 1  | 
 No  | 
 random_shawe_taylor_prime  | 
| 
6629
 | 
 2  | 
 No  | 
 miller_rabin_random  | 
| 
6659
 | 
 1  | 
 No  | 
 random_semiprime  | 
| 
6677
 | 
 1  | 
 No  | 
 random_unrestricted_semiprime  |