What is the 5004th prime number?
The 5004th prime number is 48649. The next prime is 48661 (a gap of 12) and the one before is 48647.
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 5004th one is 48649.
- 2
48649 is prime because no prime up to ā48649 ā 220.57 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5004th prime is close to 5004 Ć ln(5004) ā 42624, and here it is 48649.
- 4
48649 is a twin prime: 48647 and 48649 are both prime.
Primes around the 5004th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5001 | 48619 | 8 |
| 5002 | 48623 | 4 |
| 5003 | 48647 | 24 |
| 5004 | 48649 | 2 |
| 5005 | 48661 | 12 |
| 5006 | 48673 | 12 |
| 5007 | 48677 | 4 |
Questions
What is the 5004th prime number?
48649.
Which prime number is 48649?
48649 is the 5004th prime number.
What is the sum of the first 5004 primes?
114,649,797.