What is the 2773rd prime number?
The 2773rd prime number is 25121. The next prime is 25127 (a gap of 6) and the one before is 25117.
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 2773rd one is 25121.
- 2
25121 is prime because no prime up to ā25121 ā 158.50 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2773rd prime is close to 2773 Ć ln(2773) ā 21983, and here it is 25121.
- 4
25121 has no twin: neither 25119 nor 25123 is prime.
Primes around the 2773rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2770 | 25097 | 10 |
| 2771 | 25111 | 14 |
| 2772 | 25117 | 6 |
| 2773 | 25121 | 4 |
| 2774 | 25127 | 6 |
| 2775 | 25147 | 20 |
| 2776 | 25153 | 6 |
Questions
What is the 2773rd prime number?
25121.
Which prime number is 25121?
25121 is the 2773rd prime number.
What is the sum of the first 2773 primes?
32,681,494.