What is the 6941st prime number?
The 6941st prime number is 70051. The next prime is 70061 (a gap of 10) and the one before is 70039.
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 6941st one is 70051.
- 2
70051 is prime because no prime up to ā70051 ā 264.67 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6941st prime is close to 6941 Ć ln(6941) ā 61395, and here it is 70051.
- 4
70051 has no twin: neither 70049 nor 70053 is prime.
Primes around the 6941st
| Position | Prime | Gap from the previous |
|---|---|---|
| 6938 | 70009 | 6 |
| 6939 | 70019 | 10 |
| 6940 | 70039 | 20 |
| 6941 | 70051 | 12 |
| 6942 | 70061 | 10 |
| 6943 | 70067 | 6 |
| 6944 | 70079 | 12 |
Questions
What is the 6941st prime number?
70051.
Which prime number is 70051?
70051 is the 6941st prime number.
What is the sum of the first 6941 primes?
229,310,540.