What is the 4461st prime number?
The 4461st prime number is 42683. The next prime is 42689 (a gap of 6) and the one before is 42677.
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 4461st one is 42683.
- 2
42683 is prime because no prime up to ā42683 ā 206.60 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4461st prime is close to 4461 Ć ln(4461) ā 37486, and here it is 42683.
- 4
42683 has no twin: neither 42681 nor 42685 is prime.
Primes around the 4461st
| Position | Prime | Gap from the previous |
|---|---|---|
| 4458 | 42649 | 6 |
| 4459 | 42667 | 18 |
| 4460 | 42677 | 10 |
| 4461 | 42683 | 6 |
| 4462 | 42689 | 6 |
| 4463 | 42697 | 8 |
| 4464 | 42701 | 4 |
Questions
What is the 4461st prime number?
42683.
Which prime number is 42683?
42683 is the 4461st prime number.
What is the sum of the first 4461 primes?
89,848,878.