What is the 5001st prime number?
The 5001st prime number is 48619. The next prime is 48623 (a gap of 4) and the one before is 48611.
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 5001st one is 48619.
- 2
48619 is prime because no prime up to ā48619 ā 220.50 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5001st prime is close to 5001 Ć ln(5001) ā 42595, and here it is 48619.
- 4
48619 has no twin: neither 48617 nor 48621 is prime.
Primes around the 5001st
| Position | Prime | Gap from the previous |
|---|---|---|
| 4998 | 48589 | 18 |
| 4999 | 48593 | 4 |
| 5000 | 48611 | 18 |
| 5001 | 48619 | 8 |
| 5002 | 48623 | 4 |
| 5003 | 48647 | 24 |
| 5004 | 48649 | 2 |
Questions
What is the 5001st prime number?
48619.
Which prime number is 48619?
48619 is the 5001st prime number.
What is the sum of the first 5001 primes?
114,503,878.