What is the 7007th prime number?
The 7007th prime number is 70753. The next prime is 70769 (a gap of 16) and the one before is 70729.
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 7007th one is 70753.
- 2
70753 is prime because no prime up to ā70753 ā 265.99 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7007th prime is close to 7007 Ć ln(7007) ā 62045, and here it is 70753.
- 4
70753 has no twin: neither 70751 nor 70755 is prime.
Primes around the 7007th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7004 | 70709 | 22 |
| 7005 | 70717 | 8 |
| 7006 | 70729 | 12 |
| 7007 | 70753 | 24 |
| 7008 | 70769 | 16 |
| 7009 | 70783 | 14 |
| 7010 | 70793 | 10 |
Questions
What is the 7007th prime number?
70753.
Which prime number is 70753?
70753 is the 7007th prime number.
What is the sum of the first 7007 primes?
233,955,998.