What is the 7010th prime number?
The 7010th prime number is 70793. The next prime is 70823 (a gap of 30) and the one before is 70783.
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 7010th one is 70793.
- 2
70793 is prime because no prime up to ā70793 ā 266.07 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7010th prime is close to 7010 Ć ln(7010) ā 62074, and here it is 70793.
- 4
70793 has no twin: neither 70791 nor 70795 is prime.
Primes around the 7010th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7007 | 70753 | 24 |
| 7008 | 70769 | 16 |
| 7009 | 70783 | 14 |
| 7010 | 70793 | 10 |
| 7011 | 70823 | 30 |
| 7012 | 70841 | 18 |
| 7013 | 70843 | 2 |
Questions
What is the 7010th prime number?
70793.
Which prime number is 70793?
70793 is the 7010th prime number.
What is the sum of the first 7010 primes?
234,168,343.