What is the 2259th prime number?
The 2259th prime number is 19979. The next prime is 19991 (a gap of 12) and the one before is 19973.
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 2259th one is 19979.
- 2
19979 is prime because no prime up to ā19979 ā 141.35 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2259th prime is close to 2259 Ć ln(2259) ā 17446, and here it is 19979.
- 4
19979 has no twin: neither 19977 nor 19981 is prime.
Primes around the 2259th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2256 | 19961 | 12 |
| 2257 | 19963 | 2 |
| 2258 | 19973 | 10 |
| 2259 | 19979 | 6 |
| 2260 | 19991 | 12 |
| 2261 | 19993 | 2 |
| 2262 | 19997 | 4 |
Questions
What is the 2259th prime number?
19979.
Which prime number is 19979?
19979 is the 2259th prime number.
What is the sum of the first 2259 primes?
21,111,210.