What is the 5652nd prime number?
The 5652nd prime number is 55691. The next prime is 55697 (a gap of 6) and the one before is 55681.
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 5652nd one is 55691.
- 2
55691 is prime because no prime up to ā55691 ā 235.99 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5652nd prime is close to 5652 Ć ln(5652) ā 48832, and here it is 55691.
- 4
55691 has no twin: neither 55689 nor 55693 is prime.
Primes around the 5652nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5649 | 55667 | 4 |
| 5650 | 55673 | 6 |
| 5651 | 55681 | 8 |
| 5652 | 55691 | 10 |
| 5653 | 55697 | 6 |
| 5654 | 55711 | 14 |
| 5655 | 55717 | 6 |
Questions
What is the 5652nd prime number?
55691.
Which prime number is 55691?
55691 is the 5652nd prime number.
What is the sum of the first 5652 primes?
148,436,153.