What is the 2261st prime number?
The 2261st prime number is 19993. The next prime is 19997 (a gap of 4) and the one before is 19991.
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 2261st one is 19993.
- 2
19993 is prime because no prime up to ā19993 ā 141.40 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2261st prime is close to 2261 Ć ln(2261) ā 17463, and here it is 19993.
- 4
19993 is a twin prime: 19991 and 19993 are both prime.
Primes around the 2261st
| Position | Prime | Gap from the previous |
|---|---|---|
| 2258 | 19973 | 10 |
| 2259 | 19979 | 6 |
| 2260 | 19991 | 12 |
| 2261 | 19993 | 2 |
| 2262 | 19997 | 4 |
| 2263 | 20011 | 14 |
| 2264 | 20021 | 10 |
Questions
What is the 2261st prime number?
19993.
Which prime number is 19993?
19993 is the 2261st prime number.
What is the sum of the first 2261 primes?
21,151,194.