What is the 1752nd prime number?
The 1752nd prime number is 14957. The next prime is 14969 (a gap of 12) and the one before is 14951.
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 1752nd one is 14957.
- 2
14957 is prime because no prime up to ā14957 ā 122.30 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1752nd prime is close to 1752 Ć ln(1752) ā 13085, and here it is 14957.
- 4
14957 has no twin: neither 14955 nor 14959 is prime.
Primes around the 1752nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1749 | 14939 | 10 |
| 1750 | 14947 | 8 |
| 1751 | 14951 | 4 |
| 1752 | 14957 | 6 |
| 1753 | 14969 | 12 |
| 1754 | 14983 | 14 |
| 1755 | 15013 | 30 |
Questions
What is the 1752nd prime number?
14957.
Which prime number is 14957?
14957 is the 1752nd prime number.
What is the sum of the first 1752 primes?
12,266,017.