What is the 6942nd prime number?
The 6942nd prime number is 70061. The next prime is 70067 (a gap of 6) and the one before is 70051.
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 6942nd one is 70061.
- 2
70061 is prime because no prime up to ā70061 ā 264.69 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6942nd prime is close to 6942 Ć ln(6942) ā 61404, and here it is 70061.
- 4
70061 has no twin: neither 70059 nor 70063 is prime.
Primes around the 6942nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 6939 | 70019 | 10 |
| 6940 | 70039 | 20 |
| 6941 | 70051 | 12 |
| 6942 | 70061 | 10 |
| 6943 | 70067 | 6 |
| 6944 | 70079 | 12 |
| 6945 | 70099 | 20 |
Questions
What is the 6942nd prime number?
70061.
Which prime number is 70061?
70061 is the 6942nd prime number.
What is the sum of the first 6942 primes?
229,380,601.