What is the 5007th prime number?
The 5007th prime number is 48677. The next prime is 48679 (a gap of 2) and the one before is 48673.
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 5007th one is 48677.
- 2
48677 is prime because no prime up to ā48677 ā 220.63 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5007th prime is close to 5007 Ć ln(5007) ā 42653, and here it is 48677.
- 4
48677 is a twin prime: 48677 and 48679 are both prime.
Primes around the 5007th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5004 | 48649 | 2 |
| 5005 | 48661 | 12 |
| 5006 | 48673 | 12 |
| 5007 | 48677 | 4 |
| 5008 | 48679 | 2 |
| 5009 | 48731 | 52 |
| 5010 | 48733 | 2 |
Questions
What is the 5007th prime number?
48677.
Which prime number is 48677?
48677 is the 5007th prime number.
What is the sum of the first 5007 primes?
114,795,808.