What is the 2354th prime number?
The 2354th prime number is 20929. The next prime is 20939 (a gap of 10) and the one before is 20921.
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 2354th one is 20929.
- 2
20929 is prime because no prime up to ā20929 ā 144.67 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2354th prime is close to 2354 Ć ln(2354) ā 18276, and here it is 20929.
- 4
20929 has no twin: neither 20927 nor 20931 is prime.
Primes around the 2354th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2351 | 20899 | 2 |
| 2352 | 20903 | 4 |
| 2353 | 20921 | 18 |
| 2354 | 20929 | 8 |
| 2355 | 20939 | 10 |
| 2356 | 20947 | 8 |
| 2357 | 20959 | 12 |
Questions
What is the 2354th prime number?
20929.
Which prime number is 20929?
20929 is the 2354th prime number.
What is the sum of the first 2354 primes?
23,053,019.