What is the 2353rd prime number?
The 2353rd prime number is 20921. The next prime is 20929 (a gap of 8) and the one before is 20903.
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 2353rd one is 20921.
- 2
20921 is prime because no prime up to ā20921 ā 144.64 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2353rd prime is close to 2353 Ć ln(2353) ā 18267, and here it is 20921.
- 4
20921 has no twin: neither 20919 nor 20923 is prime.
Primes around the 2353rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2350 | 20897 | 10 |
| 2351 | 20899 | 2 |
| 2352 | 20903 | 4 |
| 2353 | 20921 | 18 |
| 2354 | 20929 | 8 |
| 2355 | 20939 | 10 |
| 2356 | 20947 | 8 |
Questions
What is the 2353rd prime number?
20921.
Which prime number is 20921?
20921 is the 2353rd prime number.
What is the sum of the first 2353 primes?
23,032,090.