What is the 7009th prime number?
The 7009th prime number is 70783. The next prime is 70793 (a gap of 10) and the one before is 70769.
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 7009th one is 70783.
- 2
70783 is prime because no prime up to ā70783 ā 266.05 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7009th prime is close to 7009 Ć ln(7009) ā 62064, and here it is 70783.
- 4
70783 has no twin: neither 70781 nor 70785 is prime.
Primes around the 7009th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7006 | 70729 | 12 |
| 7007 | 70753 | 24 |
| 7008 | 70769 | 16 |
| 7009 | 70783 | 14 |
| 7010 | 70793 | 10 |
| 7011 | 70823 | 30 |
| 7012 | 70841 | 18 |
Questions
What is the 7009th prime number?
70783.
Which prime number is 70783?
70783 is the 7009th prime number.
What is the sum of the first 7009 primes?
234,097,550.