What is the 6973rd prime number?
The 6973rd prime number is 70373. The next prime is 70379 (a gap of 6) and the one before is 70351.
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 6973rd one is 70373.
- 2
70373 is prime because no prime up to ā70373 ā 265.28 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6973rd prime is close to 6973 Ć ln(6973) ā 61710, and here it is 70373.
- 4
70373 has no twin: neither 70371 nor 70375 is prime.
Primes around the 6973rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 6970 | 70321 | 8 |
| 6971 | 70327 | 6 |
| 6972 | 70351 | 24 |
| 6973 | 70373 | 22 |
| 6974 | 70379 | 6 |
| 6975 | 70381 | 2 |
| 6976 | 70393 | 12 |
Questions
What is the 6973rd prime number?
70373.
Which prime number is 70373?
70373 is the 6973rd prime number.
What is the sum of the first 6973 primes?
231,557,096.