54001

Properties

Appears in sequences

• Numbers whose set of base 15 digits is {0,1}.at n=25A033051
• a(n) = 2*n^3 + 1.at n=30A033562
• Numbers k with the property that k is a substring of its base-6 representation.at n=13A038106
• Numbers where k-th digit from right is either 0 or k.at n=25A063013
• For p = prime(n), a(n) is the smallest prime q such that pq is a base-2 pseudoprime; that is, 2^(pq-1) = 1 mod pq; a(n) is 0 if no such prime exists.at n=40A085012
• Primes of the form 2^a * 3^b * 5^c + 1 for positive a, b, c.at n=40A114991
• Primes whose digit reversal is a pentagonal number (A000326).at n=18A115706
• Primes where the first digit equals the sum of all the other digits.at n=38A156307
• Primes of the form 1000*k + 1.at n=11A156655
• a(n) = 60*n^2 + 1.at n=30A158673
• Primes of the form 2k^3+1.at n=12A201107
• Largest prime factor of 2^(2*n+1)-2^(n+1)+1.at n=21A229767
• Consider a number of k digits n = d_(k)*10^(k-1) + d_(k-1)*10^(k-2) + … + d_(2)*10 + d_(1). Sequence lists the numbers n such that sigma(n) - n = Sum_{i=1..k-1}{sigma(Sum_{j=1..i}{d_(j)*10^(j-1)}) - Sum_{j=1..i}{d_(j)*10^(j-1)}} (see example below).at n=41A240894
• Consider a number of k digits n = d_(k)*10^(k-1) + d_(k-1)*10^(k-2) + ... + d_(2)*10 + d_(1). Sequence lists the numbers n such that n' = Sum_{i=1..k-1}{Sum_{j=1..i}{d_(j)*10^(j-1)}}', where n' is the arithmetic derivative of n (see example below).at n=42A244078
• Hankel determinants of order n for the sequence A189718.at n=20A261817
• Primes of the form n^4 + n^3 + 1 with n positive.at n=5A272572
• Prime divisors of 2^720 - 1.at n=26A291360
• Primes p = x^2 + y^2, not of the form z^2 + 1, such that 2^(x^2) == 2^(y^2) == 1 (mod p).at n=9A299103
• Primes p such that the order of 2 mod p is less than the square root of p.at n=36A333245
• a(n) is the least prime p such that there are exactly n primes of the form p+d where d is a divisor of p-1 or of p+1.at n=24A340160