What is the 4463rd prime number?
The 4463rd prime number is 42697. The next prime is 42701 (a gap of 4) and the one before is 42689.
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 4463rd one is 42697.
- 2
42697 is prime because no prime up to ā42697 ā 206.63 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4463rd prime is close to 4463 Ć ln(4463) ā 37505, and here it is 42697.
- 4
42697 has no twin: neither 42695 nor 42699 is prime.
Primes around the 4463rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4460 | 42677 | 10 |
| 4461 | 42683 | 6 |
| 4462 | 42689 | 6 |
| 4463 | 42697 | 8 |
| 4464 | 42701 | 4 |
| 4465 | 42703 | 2 |
| 4466 | 42709 | 6 |
Questions
What is the 4463rd prime number?
42697.
Which prime number is 42697?
42697 is the 4463rd prime number.
What is the sum of the first 4463 primes?
89,934,264.