What is the 5591st prime number?
The 5591st prime number is 55001. The next prime is 55009 (a gap of 8) and the one before is 54983.
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 5591st one is 55001.
- 2
55001 is prime because no prime up to ā55001 ā 234.52 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5591st prime is close to 5591 Ć ln(5591) ā 48244, and here it is 55001.
- 4
55001 has no twin: neither 54999 nor 55003 is prime.
Primes around the 5591st
| Position | Prime | Gap from the previous |
|---|---|---|
| 5588 | 54973 | 14 |
| 5589 | 54979 | 6 |
| 5590 | 54983 | 4 |
| 5591 | 55001 | 18 |
| 5592 | 55009 | 8 |
| 5593 | 55021 | 12 |
| 5594 | 55049 | 28 |
Questions
What is the 5591st prime number?
55001.
Which prime number is 55001?
55001 is the 5591st prime number.
What is the sum of the first 5591 primes?
145,059,096.