What is the 6977th prime number?
The 6977th prime number is 70423. The next prime is 70429 (a gap of 6) and the one before is 70393.
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 6977th one is 70423.
- 2
70423 is prime because no prime up to ā70423 ā 265.37 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6977th prime is close to 6977 Ć ln(6977) ā 61749, and here it is 70423.
- 4
70423 has no twin: neither 70421 nor 70425 is prime.
Primes around the 6977th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6974 | 70379 | 6 |
| 6975 | 70381 | 2 |
| 6976 | 70393 | 12 |
| 6977 | 70423 | 30 |
| 6978 | 70429 | 6 |
| 6979 | 70439 | 10 |
| 6980 | 70451 | 12 |
Questions
What is the 6977th prime number?
70423.
Which prime number is 70423?
70423 is the 6977th prime number.
What is the sum of the first 6977 primes?
231,838,672.