What is the 4595th prime number?
The 4595th prime number is 44131. The next prime is 44159 (a gap of 28) and the one before is 44129.
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 4595th one is 44131.
- 2
44131 is prime because no prime up to ā44131 ā 210.07 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4595th prime is close to 4595 Ć ln(4595) ā 38748, and here it is 44131.
- 4
44131 is a twin prime: 44129 and 44131 are both prime.
Primes around the 4595th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4592 | 44119 | 8 |
| 4593 | 44123 | 4 |
| 4594 | 44129 | 6 |
| 4595 | 44131 | 2 |
| 4596 | 44159 | 28 |
| 4597 | 44171 | 12 |
| 4598 | 44179 | 8 |
Questions
What is the 4595th prime number?
44131.
Which prime number is 44131?
44131 is the 4595th prime number.
What is the sum of the first 4595 primes?
95,666,572.