What is the 7977th prime number?
The 7977th prime number is 81553. The next prime is 81559 (a gap of 6) and the one before is 81551.
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 7977th one is 81553.
- 2
81553 is prime because no prime up to ā81553 ā 285.57 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7977th prime is close to 7977 Ć ln(7977) ā 71668, and here it is 81553.
- 4
81553 is a twin prime: 81551 and 81553 are both prime.
Primes around the 7977th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7974 | 81533 | 6 |
| 7975 | 81547 | 14 |
| 7976 | 81551 | 4 |
| 7977 | 81553 | 2 |
| 7978 | 81559 | 6 |
| 7979 | 81563 | 4 |
| 7980 | 81569 | 6 |
Questions
What is the 7977th prime number?
81553.
Which prime number is 81553?
81553 is the 7977th prime number.
What is the sum of the first 7977 primes?
307,798,728.