What is the 7014th prime number?
The 7014th prime number is 70849. The next prime is 70853 (a gap of 4) and the one before is 70843.
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 7014th one is 70849.
- 2
70849 is prime because no prime up to ā70849 ā 266.17 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7014th prime is close to 7014 Ć ln(7014) ā 62114, and here it is 70849.
- 4
70849 has no twin: neither 70847 nor 70851 is prime.
Primes around the 7014th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7011 | 70823 | 30 |
| 7012 | 70841 | 18 |
| 7013 | 70843 | 2 |
| 7014 | 70849 | 6 |
| 7015 | 70853 | 4 |
| 7016 | 70867 | 14 |
| 7017 | 70877 | 10 |
Questions
What is the 7014th prime number?
70849.
Which prime number is 70849?
70849 is the 7014th prime number.
What is the sum of the first 7014 primes?
234,451,699.