What is the 4173rd prime number?
The 4173rd prime number is 39703. The next prime is 39709 (a gap of 6) and the one before is 39679.
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 4173rd one is 39703.
- 2
39703 is prime because no prime up to ā39703 ā 199.26 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4173rd prime is close to 4173 Ć ln(4173) ā 34788, and here it is 39703.
- 4
39703 has no twin: neither 39701 nor 39705 is prime.
Primes around the 4173rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4170 | 39667 | 8 |
| 4171 | 39671 | 4 |
| 4172 | 39679 | 8 |
| 4173 | 39703 | 24 |
| 4174 | 39709 | 6 |
| 4175 | 39719 | 10 |
| 4176 | 39727 | 8 |
Questions
What is the 4173rd prime number?
39703.
Which prime number is 39703?
39703 is the 4173rd prime number.
What is the sum of the first 4173 primes?
77,975,248.