123457

Properties

Appears in sequences

• Numbers (with nonzero digits only) where A046810 increases.at n=24A046811
• Smallest prime containing a leading sequence of n ascending numbers.at n=4A053546
• a(1) = 2; for n > 1, a(n) is the smallest prime > a(n-1) such that each successive digit in the concatenation of terms (that does not follow 9) is greater than the previous digit.at n=30A068827
• Smallest n-digit prime with strictly increasing digits.at n=5A071362
• Smallest prime > the concatenation of the first n natural numbers.at n=5A074365
• Triangle read by rows in which the n-th row contains the n numbers in increasing order formed by the concatenation of first n-1 numbers. (The digits of the numbers with 2 or more digits are taken as one entity.) First row is taken to be 0.at n=22A081539
• Primes p whose Zeckendorf-expansion A014417(p) is palindromic.at n=24A095730
• a(0)=0; a(1)=2. Slowest increasing sequence where every digit "d" has a copy of itself in a(n+d).at n=26A102150
• Smallest prime with a run of n strictly increasing digits.at n=5A108471
• Smallest prime == 1 (mod f(n)), where f(n) = concatenation 1,2,3,... up to n.at n=5A109947
• Smallest prime of the form: n successive positive integers in ascending order followed by a 7.at n=4A114756
• Concatenation of first n imperfect numbers.at n=5A132943
• Primes of the form: (concatenation of first n positive integers) + 1.at n=2A241569
• Let S(n) denote the sequence formed by concatenating the decimal numbers 1,2,3,..., omitting n; a(n) is the smallest prime in S(n), or -1 if no term in S(n) is prime.at n=5A262299
• Concatenation of the numbers from 1 to n but omitting 6.at n=5A262576
• Primes that do not divide any 10-digit pandigital number (i.e. any value in A050278).at n=1A292471
• Concatenate the decimal numbers 1,2,3,...,n, then add 1.at n=5A359124
• Largest prime factor of A359124(n).at n=5A359125
• Primes whose second, third and fourth digits are 234.at n=17A371833
• Primes whose second, third, fourth and fifth digits are 2345.at n=0A371845