What is the 7013th prime number?
The 7013th prime number is 70843. The next prime is 70849 (a gap of 6) and the one before is 70841.
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 7013th one is 70843.
- 2
70843 is prime because no prime up to ā70843 ā 266.16 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7013th prime is close to 7013 Ć ln(7013) ā 62104, and here it is 70843.
- 4
70843 is a twin prime: 70841 and 70843 are both prime.
Primes around the 7013th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7010 | 70793 | 10 |
| 7011 | 70823 | 30 |
| 7012 | 70841 | 18 |
| 7013 | 70843 | 2 |
| 7014 | 70849 | 6 |
| 7015 | 70853 | 4 |
| 7016 | 70867 | 14 |
Questions
What is the 7013th prime number?
70843.
Which prime number is 70843?
70843 is the 7013th prime number.
What is the sum of the first 7013 primes?
234,380,850.