What is the 9977th prime number?
The 9977th prime number is 104513. The next prime is 104527 (a gap of 14) and the one before is 104491.
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 9977th one is 104513.
- 2
104513 is prime because no prime up to ā104513 ā 323.28 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9977th prime is close to 9977 Ć ln(9977) ā 91869, and here it is 104513.
- 4
104513 has no twin: neither 104511 nor 104515 is prime.
Primes around the 9977th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9974 | 104473 | 2 |
| 9975 | 104479 | 6 |
| 9976 | 104491 | 12 |
| 9977 | 104513 | 22 |
| 9978 | 104527 | 14 |
| 9979 | 104537 | 10 |
| 9980 | 104543 | 6 |
Questions
What is the 9977th prime number?
104513.
Which prime number is 104513?
104513 is the 9977th prime number.
What is the sum of the first 9977 primes?
493,758,780.