What is the 5008th prime number?
The 5008th prime number is 48679. The next prime is 48731 (a gap of 52) and the one before is 48677.
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 5008th one is 48679.
- 2
48679 is prime because no prime up to ā48679 ā 220.63 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5008th prime is close to 5008 Ć ln(5008) ā 42662, and here it is 48679.
- 4
48679 is a twin prime: 48677 and 48679 are both prime.
Primes around the 5008th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5005 | 48661 | 12 |
| 5006 | 48673 | 12 |
| 5007 | 48677 | 4 |
| 5008 | 48679 | 2 |
| 5009 | 48731 | 52 |
| 5010 | 48733 | 2 |
| 5011 | 48751 | 18 |
Questions
What is the 5008th prime number?
48679.
Which prime number is 48679?
48679 is the 5008th prime number.
What is the sum of the first 5008 primes?
114,844,487.