> For the complete documentation index, see [llms.txt](https://hub.bsvblockchain.org/llms.txt). Markdown versions of documentation pages are available by appending `.md` to page URLs; this page is available as [Markdown](https://hub.bsvblockchain.org/wiki/cryptography-and-keys/cryptography/g.md).

# G

The symbol *G* refers to a distinguished point on the secpt256k1 elliptic curve known as the *generator* or *base* point. Using elliptic curve point addition, one may add *G* to itself over and over again to form the sequence

```bash
*G*, *G* + *G* = 2*G*, *G* + *G* + *G* = 3*G*, ...
```

and eventually every point on the elliptic curve will be generated in this sequence. In compressed form *G* is given by:

```bash
*G* = 02 79BE667E F9DCBBAC 55A06295 CE870B07 029BFCDB 2DCE28D9 59F2815B 16F81798
```

and in uncompressed form it is:

```bash
*G* = 04 79BE667E F9DCBBAC 55A06295 CE870B07 029BFCDB 2DCE28D9 59F2815B 16F81798 483ADA77 26A3C465 5DA4FBFC 0E1108A8 FD17B448 A6855419 9C47D08F FB10D4B8
```

The order of *G* and the cofactor are:

```bash
**n* = FFFFFFFF FFFFFFFF FFFFFFFF FFFFFFFE BAAEDCE6 AF48A03B BFD25E8C D0364141
**h* = 01
```

The order *n* is the number of times *G* must be added to itself to get the identity. The cofactor *h* = 1 tells us that moreover *n* is the order of the entire group of elliptic curve points, and therefore *G* is a generator of this group.


---

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