What is the 7008th prime number?
The 7008th prime number is 70769. The next prime is 70783 (a gap of 14) and the one before is 70753.
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 7008th one is 70769.
- 2
70769 is prime because no prime up to ā70769 ā 266.02 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7008th prime is close to 7008 Ć ln(7008) ā 62054, and here it is 70769.
- 4
70769 has no twin: neither 70767 nor 70771 is prime.
Primes around the 7008th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7005 | 70717 | 8 |
| 7006 | 70729 | 12 |
| 7007 | 70753 | 24 |
| 7008 | 70769 | 16 |
| 7009 | 70783 | 14 |
| 7010 | 70793 | 10 |
| 7011 | 70823 | 30 |
Questions
What is the 7008th prime number?
70769.
Which prime number is 70769?
70769 is the 7008th prime number.
What is the sum of the first 7008 primes?
234,026,767.