33546239

Properties

Appears in sequences

• Smallest prime with Hamming weight n (i.e., with exactly n 1's when written in binary).at n=23A061712
• Smallest prime between 2^n and 2^(n+1), having a maximal number of 1's in binary representation.at n=23A091938
• Smallest prime with at least n 1's when written in binary.at n=23A211997
• Decimal representation of the n-th iteration of the "Rule 221" elementary cellular automaton starting with a single ON (black) cell.at n=12A267816
• Primes that set a new record for the Hamming weight.at n=20A278477
• a(n) is the largest prime 2^(n-1) <= p < 2^n maximizing the Hamming weight of all primes in this interval.at n=23A333877
• Primes with a single 0-bit in binary expansion such that changing the position of the 0-bit always gives a nonprime (including the one with a leading zero).at n=4A368214
• Prime numbers such that no lesser prime has the same binary weight (number of ones in binary expansion).at n=23A372685
• Prime numbersat n=2063216