N.H. Rev. Stat. Ann. § 420-B:8-d

No non-group health maintenance organization contract, authorized under this chapter, may be cancelled or nonrenewed by the health maintenance organization except for nonpayment of premium, unless the enrolled participant receives either a notice of cancellation or nonrenewal or an offer of renewal in accordance with this section. The notice of cancellation or nonrenewal or offer of renewal shall be delivered to the enrolled participant or mailed to the enrolled participant's last address as shown in the records of the health maintenance organization at least 30 days prior to the renewal date of the contract.