What is the 7012th prime number?
The 7012th prime number is 70841. The next prime is 70843 (a gap of 2) and the one before is 70823.
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 7012th one is 70841.
- 2
70841 is prime because no prime up to ā70841 ā 266.16 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7012th prime is close to 7012 Ć ln(7012) ā 62094, and here it is 70841.
- 4
70841 is a twin prime: 70841 and 70843 are both prime.
Primes around the 7012th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7009 | 70783 | 14 |
| 7010 | 70793 | 10 |
| 7011 | 70823 | 30 |
| 7012 | 70841 | 18 |
| 7013 | 70843 | 2 |
| 7014 | 70849 | 6 |
| 7015 | 70853 | 4 |
Questions
What is the 7012th prime number?
70841.
Which prime number is 70841?
70841 is the 7012th prime number.
What is the sum of the first 7012 primes?
234,310,007.