536870909

Properties

Appears in sequences

• Largest prime <= 2^n.at n=28A014234
• a(n) = 2^n - 3.at n=29A036563
• Primes of the form 2^k - 3.at n=11A050415
• Primes -p+2^n with smallest p prime, arising in A057674.at n=28A057674
• Primes p such that p+3 == 0 (mod phi(p+3)).at n=12A067932
• Smallest prime with exactly n consecutive ones in the longest run of ones in its binary expansion.at n=26A090593
• Smallest number having in binary representation a prefix of length n that is also a suffix of its successor.at n=28A091270
• Smallest prime factor of 2^n-3.at n=27A093810
• Largest prime factor of 2^n-3.at n=27A093817
• Prime nearest to 2^n. In case of a tie, choose the smaller.at n=29A117387
• Largest prime factor of the odd Catalan number A038003(n).at n=26A120274
• Least prime of the form x^n-x-1.at n=27A126439
• Powers of 2 with 3 alternatingly added and subtracted.at n=29A140657
• Primes of the form 2^p - 1, 2^p + 1, 2^p - 3, or 2^p + 3, where p is prime.at n=11A142247
• a(n) = -3a(n-1) - 3a(n-2) - 2a(n-3), n > 3.at n=30A158927
• Numbers n such that n and n+3 are prime powers.at n=24A164571
• a(n) = 2^n +(-1)^n - 2.at n=29A166956
• Primes of the form 2^p-3 with p also prime.at n=2A172041
• Primes p == 2 (mod 3) of the form 2^n-3.at n=3A176680
• a(n) is the smallest prime p>2 such that there are 2*n or 2*n+1 positive integers m for which the exponents of 2 and p in the prime power factorization of m! are both powers of 2.at n=27A177378