What is the 4593rd prime number?
The 4593rd prime number is 44123. The next prime is 44129 (a gap of 6) and the one before is 44119.
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 4593rd one is 44123.
- 2
44123 is prime because no prime up to ā44123 ā 210.05 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4593rd prime is close to 4593 Ć ln(4593) ā 38730, and here it is 44123.
- 4
44123 has no twin: neither 44121 nor 44125 is prime.
Primes around the 4593rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4590 | 44101 | 12 |
| 4591 | 44111 | 10 |
| 4592 | 44119 | 8 |
| 4593 | 44123 | 4 |
| 4594 | 44129 | 6 |
| 4595 | 44131 | 2 |
| 4596 | 44159 | 28 |
Questions
What is the 4593rd prime number?
44123.
Which prime number is 44123?
44123 is the 4593rd prime number.
What is the sum of the first 4593 primes?
95,578,312.