What is the 2352nd prime number?
The 2352nd prime number is 20903. The next prime is 20921 (a gap of 18) and the one before is 20899.
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 2352nd one is 20903.
- 2
20903 is prime because no prime up to ā20903 ā 144.58 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2352nd prime is close to 2352 Ć ln(2352) ā 18259, and here it is 20903.
- 4
20903 has no twin: neither 20901 nor 20905 is prime.
Primes around the 2352nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2349 | 20887 | 8 |
| 2350 | 20897 | 10 |
| 2351 | 20899 | 2 |
| 2352 | 20903 | 4 |
| 2353 | 20921 | 18 |
| 2354 | 20929 | 8 |
| 2355 | 20939 | 10 |
Questions
What is the 2352nd prime number?
20903.
Which prime number is 20903?
20903 is the 2352nd prime number.
What is the sum of the first 2352 primes?
23,011,169.