What is the 1751st prime number?
The 1751st prime number is 14951. The next prime is 14957 (a gap of 6) and the one before is 14947.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 1751st one is 14951.
- 2
14951 is prime because no prime up to ā14951 ā 122.27 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1751st prime is close to 1751 Ć ln(1751) ā 13076, and here it is 14951.
- 4
14951 has no twin: neither 14949 nor 14953 is prime.
Primes around the 1751st
| Position | Prime | Gap from the previous |
|---|---|---|
| 1748 | 14929 | 6 |
| 1749 | 14939 | 10 |
| 1750 | 14947 | 8 |
| 1751 | 14951 | 4 |
| 1752 | 14957 | 6 |
| 1753 | 14969 | 12 |
| 1754 | 14983 | 14 |
Questions
What is the 1751st prime number?
14951.
Which prime number is 14951?
14951 is the 1751st prime number.
What is the sum of the first 1751 primes?
12,251,060.