50101

Properties

Appears in sequences

• Primes associated with A052507.at n=39A052480
• Primes which can be expressed as concatenation of powers of 5 and 0's.at n=24A066596
• a(1) = 2; a(n+1) is the smallest prime > a(n) which differs from it in every digit.at n=35A068853
• a(1) = 1; a(n+1) is the smallest number > a(n) which differs from it at every digit.at n=40A068860
• Largest coefficient in expansion of (1 + x + x^2 + ... + x^(n-1))^5 = ((1-x^n)/(1-x))^5, i.e., the coefficient of x^floor(5*(n-1)/2) and of x^ceiling(5*(n-1)/2); also number of compositions of floor(5*(n+1)/2) into exactly 5 positive integers each no more than n.at n=17A077044
• Number of ordered quintuples (a,b,c,d,e), -n <= a,b,c,d,e <= n, such that a+b+c+d+e = 0.at n=8A083669
• The sequence alternates even and odd integers but also even and odd digits; it is monotonically increasing and a(n) is always the smallest integer fitting the pattern.at n=21A137667
• Primes p where the digital sum of p^2 is equal to 13.at n=25A165492
• Prime numbers ending in the prime number 101.at n=11A167626
• Base-6 pandigital primes: primes having at least one of each digit 0,1,2,3,4,5 when written in base 6.at n=4A175278
• Primes having only {0, 1, 5} as digits.at n=19A199325
• Primes formed by concatenating k and 2k+1.at n=21A309808
• Number of arrays of n integers in -8..8 with sum zero.at n=5A322538
• T(n,k) is the k-th partition of n in graded reverse lexicographic ordering (A080577) encoded as concatenation of parts which are represented in (zeroless) bijective base-9 numeration (A052382) and separated by zeros; triangle T(n,k), n >= 0, 1 <= k <= A000041(n), read by rows.at n=33A332567
• Primes having only {0, 1, 5, 8} as digits.at n=41A386033
• Prime numbersat n=5144