Javascript function store and isprime
P=[2]; //initial array of prime numbers:
function store(n){
if (typeof(P)==undefined) P=[n];
else {
if (P[P.length-1]<n*1)
P.push(n);
}
}
function isprime(n,i)
{ /*
returns isprime True / False by cheking with already generated
prime numbers
The author feels that this is most efficient way
to find prime numbers
to startwith P[0] is stored with first prime 2
*/
if (i==undefined) i=0;
if (n%P[i]==0)
return false;
if (P[i]*P[i]>n){
store(n);
return true;
}
return isprime(n,i+1);
}
FULL PROGRAM IN PYTHON:
def store(n):
global P
try:
P
except:
P=[n]
return
if (P[-1]==None or P[-1]<n):
P.append(n)
def isprime(n,i=0):
"""
returns isprime True / False by cheking with already generated
prime numbers
The author feels that this is most efficient way
to find prime numbers
to startwith P[0] is stored with first prime 2
"""
if (n%P[i]==0):
return False
if (P[i]*P[i]>n):
store(n)
return True
isprime(n,i+1)
store(2)
for i in range(1,4):
for n in range(3,10**i,2): # for range from 3 to 10, 3 to 100 , 3 to 1000
isprime(n)
print(P)
print(len(P))
#### Sample output
# 05:05 bnvenkat.com/apy/begin> python3 prime.py
# [2, 3, 5, 7]
# 4
# [2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71,
# 73, 79, 83, 89, 97]
# 25
# [2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71,
# 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173,
# 179, 181, 191, 193, 197, 199, 211, 223, 227, 229, 233, 239, 241, 251, 257, 263, 269, 271, 277,
# 281, 283, 293, 307, 311, 313, 317, 331, 337, 347, 349, 353, 359, 367, 373, 379, 383, 389, 397,
# 401, 409, 419, 421, 431, 433, 439, 443, 449, 457, 461, 463, 467, 479, 487, 491, 499, 503, 509,
# 521, 523, 541, 547, 557, 563, 569, 571, 577, 587, 593, 599, 601, 607, 613, 617, 619, 631, 641,
# 643, 647, 653, 659, 661, 673, 677, 683, 691, 701, 709, 719, 727, 733, 739, 743, 751, 757, 761,
# 769, 773, 787, 797, 809, 811, 821, 823, 827, 829, 839, 853, 857, 859, 863, 877, 881, 883, 887,
# 907, 911, 919, 929, 937, 941, 947, 953, 967, 971, 977, 983, 991, 997]
# 168
# 05:06 bnvenkat.com/apy/begin>