What is the 2378th prime number?
The 2378th prime number is 21157. The next prime is 21163 (a gap of 6) and the one before is 21149.
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 2378th one is 21157.
- 2
21157 is prime because no prime up to ā21157 ā 145.45 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2378th prime is close to 2378 Ć ln(2378) ā 18487, and here it is 21157.
- 4
21157 has no twin: neither 21155 nor 21159 is prime.
Primes around the 2378th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2375 | 21139 | 18 |
| 2376 | 21143 | 4 |
| 2377 | 21149 | 6 |
| 2378 | 21157 | 8 |
| 2379 | 21163 | 6 |
| 2380 | 21169 | 6 |
| 2381 | 21179 | 10 |
Questions
What is the 2378th prime number?
21157.
Which prime number is 21157?
21157 is the 2378th prime number.
What is the sum of the first 2378 primes?
23,558,099.