What is the 6938th prime number?
The 6938th prime number is 70009. The next prime is 70019 (a gap of 10) and the one before is 70003.
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 6938th one is 70009.
- 2
70009 is prime because no prime up to ā70009 ā 264.59 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6938th prime is close to 6938 Ć ln(6938) ā 61365, and here it is 70009.
- 4
70009 has no twin: neither 70007 nor 70011 is prime.
Primes around the 6938th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6935 | 69997 | 6 |
| 6936 | 70001 | 4 |
| 6937 | 70003 | 2 |
| 6938 | 70009 | 6 |
| 6939 | 70019 | 10 |
| 6940 | 70039 | 20 |
| 6941 | 70051 | 12 |
Questions
What is the 6938th prime number?
70009.
Which prime number is 70009?
70009 is the 6938th prime number.
What is the sum of the first 6938 primes?
229,100,431.