What is the 2260th prime number?
The 2260th prime number is 19991. The next prime is 19993 (a gap of 2) and the one before is 19979.
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 2260th one is 19991.
- 2
19991 is prime because no prime up to ā19991 ā 141.39 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2260th prime is close to 2260 Ć ln(2260) ā 17454, and here it is 19991.
- 4
19991 is a twin prime: 19991 and 19993 are both prime.
Primes around the 2260th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2257 | 19963 | 2 |
| 2258 | 19973 | 10 |
| 2259 | 19979 | 6 |
| 2260 | 19991 | 12 |
| 2261 | 19993 | 2 |
| 2262 | 19997 | 4 |
| 2263 | 20011 | 14 |
Questions
What is the 2260th prime number?
19991.
Which prime number is 19991?
19991 is the 2260th prime number.
What is the sum of the first 2260 primes?
21,131,201.