A383919 Primes made up of 0's and seven 1's only.
11110111, 11111101, 101101111, 101111011, 110111011, 111010111, 1001110111, 1010011111, 1011110011, 1100101111, 1101010111, 1101110011, 1110011101, 1110110011, 1111100101, 1111110001, 10010110111, 10011101011, 10011110101, 10100111101, 10111001011, 10111110001, 11001011101
Offset: 1
Links
- Alois P. Heinz, Table of n, a(n) for n = 1..12277
- René-Louis Clerc, Nombres premiers primaires et nombres premiers secondaires, 2025.
Programs
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PARI
list(M) = for(i=3, M, for(j=2, i-1, for(k=1, j-1, for(r=1, k-1, for(l=1, r-1, for(m=1, l-1, my(p=10^i+10^j+10^k+10^r+10^l+10^m+1); isprime(p) && print1(p, ", ")))))))
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Python
from itertools import count, islice from sympy import isprime def A383919_gen(): # generator of terms for a in count(6): for b in range(5,a): for c in range(4,b): for d in range(3,c): for e in range(2,d): for f in range(1,e): if isprime(p:=10**a+10**b+10**c+10**d+10**e+10**f|1): yield(p) A383919_list = list(islice(A383919_gen(),23)) # Chai Wah Wu, May 28 2025
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