What is the 2258th prime number?
The 2258th prime number is 19973. The next prime is 19979 (a gap of 6) and the one before is 19963.
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 2258th one is 19973.
- 2
19973 is prime because no prime up to ā19973 ā 141.33 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2258th prime is close to 2258 Ć ln(2258) ā 17437, and here it is 19973.
- 4
19973 has no twin: neither 19971 nor 19975 is prime.
Primes around the 2258th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2255 | 19949 | 12 |
| 2256 | 19961 | 12 |
| 2257 | 19963 | 2 |
| 2258 | 19973 | 10 |
| 2259 | 19979 | 6 |
| 2260 | 19991 | 12 |
| 2261 | 19993 | 2 |
Questions
What is the 2258th prime number?
19973.
Which prime number is 19973?
19973 is the 2258th prime number.
What is the sum of the first 2258 primes?
21,091,231.