What is the 4591st prime number?
The 4591st prime number is 44111. The next prime is 44119 (a gap of 8) and the one before is 44101.
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 4591st one is 44111.
- 2
44111 is prime because no prime up to ā44111 ā 210.03 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4591st prime is close to 4591 Ć ln(4591) ā 38711, and here it is 44111.
- 4
44111 has no twin: neither 44109 nor 44113 is prime.
Primes around the 4591st
| Position | Prime | Gap from the previous |
|---|---|---|
| 4588 | 44087 | 16 |
| 4589 | 44089 | 2 |
| 4590 | 44101 | 12 |
| 4591 | 44111 | 10 |
| 4592 | 44119 | 8 |
| 4593 | 44123 | 4 |
| 4594 | 44129 | 6 |
Questions
What is the 4591st prime number?
44111.
Which prime number is 44111?
44111 is the 4591st prime number.
What is the sum of the first 4591 primes?
95,490,070.