What is the 2355th prime number?
The 2355th prime number is 20939. The next prime is 20947 (a gap of 8) and the one before is 20929.
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 2355th one is 20939.
- 2
20939 is prime because no prime up to ā20939 ā 144.70 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2355th prime is close to 2355 Ć ln(2355) ā 18285, and here it is 20939.
- 4
20939 has no twin: neither 20937 nor 20941 is prime.
Primes around the 2355th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2352 | 20903 | 4 |
| 2353 | 20921 | 18 |
| 2354 | 20929 | 8 |
| 2355 | 20939 | 10 |
| 2356 | 20947 | 8 |
| 2357 | 20959 | 12 |
| 2358 | 20963 | 4 |
Questions
What is the 2355th prime number?
20939.
Which prime number is 20939?
20939 is the 2355th prime number.
What is the sum of the first 2355 primes?
23,073,958.