What is the 4552nd prime number?
The 4552nd prime number is 43691. The next prime is 43711 (a gap of 20) and the one before is 43669.
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 4552nd one is 43691.
- 2
43691 is prime because no prime up to ā43691 ā 209.02 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4552nd prime is close to 4552 Ć ln(4552) ā 38343, and here it is 43691.
- 4
43691 has no twin: neither 43689 nor 43693 is prime.
Primes around the 4552nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4549 | 43651 | 2 |
| 4550 | 43661 | 10 |
| 4551 | 43669 | 8 |
| 4552 | 43691 | 22 |
| 4553 | 43711 | 20 |
| 4554 | 43717 | 6 |
| 4555 | 43721 | 4 |
Questions
What is the 4552nd prime number?
43691.
Which prime number is 43691?
43691 is the 4552nd prime number.
What is the sum of the first 4552 primes?
93,777,111.