What is the 7006th prime number?
The 7006th prime number is 70729. The next prime is 70753 (a gap of 24) and the one before is 70717.
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 7006th one is 70729.
- 2
70729 is prime because no prime up to ā70729 ā 265.95 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7006th prime is close to 7006 Ć ln(7006) ā 62035, and here it is 70729.
- 4
70729 has no twin: neither 70727 nor 70731 is prime.
Primes around the 7006th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7003 | 70687 | 20 |
| 7004 | 70709 | 22 |
| 7005 | 70717 | 8 |
| 7006 | 70729 | 12 |
| 7007 | 70753 | 24 |
| 7008 | 70769 | 16 |
| 7009 | 70783 | 14 |
Questions
What is the 7006th prime number?
70729.
Which prime number is 70729?
70729 is the 7006th prime number.
What is the sum of the first 7006 primes?
233,885,245.