A095328 -id:A095328 - cp's OEIS frontend

A095318 Primes in whose binary expansion the number of 1 bits is > 3 + number of 0 bits.

31, 47, 59, 61, 127, 191, 223, 239, 251, 367, 379, 383, 431, 439, 443, 463, 479, 487, 491, 499, 503, 509, 607, 631, 701, 719, 727, 733, 743, 751, 757, 761, 823, 827, 829, 859, 863, 877, 883, 887, 911, 919, 941, 947, 953, 967, 971, 983, 991

Offset: 1

Antti Karttunen, Jun 04 2004

A. Karttunen and J. Moyer: C-program for computing the initial terms of this sequence

Complement of A095319 in A000040. Subset of A095314. Subset: A095322. Cf. also A095328.

B(x) = { nB = floor(log(x)/log(2)); b1 = 0; b0 = 0;
for(i = 0, nB, if(bittest(x,i), b1++;, b0++;); );
if(b1 > (3+b0), return(1);, return(0););};
forprime(x = 2, 991, if(B(x), print1(x, ", "); ); );
\\ Washington Bomfim, Jan 12 2011

A095329 Number of A095319-primes in range ]2^n,2^(n+1)].

Original entry on oeis.org

1, 2, 2, 4, 4, 12, 19, 30, 43, 102, 159, 340, 537, 1146, 1914, 3992, 6378, 14010, 23145, 49682, 82295, 180016, 303833, 654049, 1098521, 2387358, 4075501, 8820563, 15062515, 32732736, 56401388, 121964573, 210680037

Offset: 1

Antti Karttunen, Jun 04 2004

nonn

Ratios a(n)/A036378(n) converge as: 1, 1, 1, 0.8, 0.571429, 0.923077, 0.826087, 0.697674, 0.573333, 0.744526, 0.623529, 0.732759, 0.615826, 0.710918, 0.631683, 0.699247, 0.593358, 0.687102, 0.599068, 0.675156, 0.586414, 0.671161, 0.591451, 0.663458, 0.579964, 0.654834, 0.579953, 0.650393, 0.574745, 0.645647, 0.574454, 0.640787, 0.570449

Ratios a(n)/A095020(n) converge as: 1, 1, 1, 1, 0.8, 1.2,1.1875, 0.9375, 0.895833, 1.051546, 0.908571, 1.017964, 1.015123,1.014159, 1.034595, 1.009866, 1.016252, 1.007117, 0.99557, 1.002381,1.008245, 1.006182, 1.011728, 1.005142, 1.006148, 1.002926, 1.00328,1.004575, 1.002721, 1.003502, 1.004757, 1.002787, 1.003766

A. Karttunen and J. Moyer: C-program for computing the initial terms of this sequence
Index entries for sequences related to occurrences of various subsets of primes in range ]2^n,2^(n+1)]

a(n) = A036378(n)-A095328(n).

cp's OEIS Frontend

A095318 Primes in whose binary expansion the number of 1 bits is > 3 + number of 0 bits.

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