What is the 6939th prime number?
The 6939th prime number is 70019. The next prime is 70039 (a gap of 20) and the one before is 70009.
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 6939th one is 70019.
- 2
70019 is prime because no prime up to ā70019 ā 264.61 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6939th prime is close to 6939 Ć ln(6939) ā 61375, and here it is 70019.
- 4
70019 has no twin: neither 70017 nor 70021 is prime.
Primes around the 6939th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6936 | 70001 | 4 |
| 6937 | 70003 | 2 |
| 6938 | 70009 | 6 |
| 6939 | 70019 | 10 |
| 6940 | 70039 | 20 |
| 6941 | 70051 | 12 |
| 6942 | 70061 | 10 |
Questions
What is the 6939th prime number?
70019.
Which prime number is 70019?
70019 is the 6939th prime number.
What is the sum of the first 6939 primes?
229,170,450.