What is the 2463rd prime number?
The 2463rd prime number is 21991. The next prime is 21997 (a gap of 6) and the one before is 21977.
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 2463rd one is 21991.
- 2
21991 is prime because no prime up to ā21991 ā 148.29 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2463rd prime is close to 2463 Ć ln(2463) ā 19234, and here it is 21991.
- 4
21991 has no twin: neither 21989 nor 21993 is prime.
Primes around the 2463rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2460 | 21943 | 6 |
| 2461 | 21961 | 18 |
| 2462 | 21977 | 16 |
| 2463 | 21991 | 14 |
| 2464 | 21997 | 6 |
| 2465 | 22003 | 6 |
| 2466 | 22013 | 10 |
Questions
What is the 2463rd prime number?
21991.
Which prime number is 21991?
21991 is the 2463rd prime number.
What is the sum of the first 2463 primes?
25,391,568.